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Simplifying -5 + 7x + 5(x + -10) + 15 = 2(x + 6) + -2(2x + 4) + 10x + -61 Reorder the terms: -5 + 7x + 5(-10 + x) + 15 = 2(x + 6) + -2(2x + 4) + 10x + -61 -5 + 7x + (-10 * 5 + x * 5) + 15 = 2(x + 6) + -2(2x + 4) + 10x + -61 -5 + 7x + (-50 + 5x) + 15 = 2(x + 6) + -2(2x + 4) + 10x + -61 Reorder the terms: -5 + -50 + 15 + 7x + 5x = 2(x + 6) + -2(2x + 4) + 10x + -61 Combine like terms: -5 + -50 = -55 -55 + 15 + 7x + 5x = 2(x + 6) + -2(2x + 4) + 10x + -61 Combine like terms: -55 + 15 = -40 -40 + 7x + 5x = 2(x + 6) + -2(2x + 4) + 10x + -61 Combine like terms: 7x + 5x = 12x -40 + 12x = 2(x + 6) + -2(2x + 4) + 10x + -61 Reorder the terms: -40 + 12x = 2(6 + x) + -2(2x + 4) + 10x + -61 -40 + 12x = (6 * 2 + x * 2) + -2(2x + 4) + 10x + -61 -40 + 12x = (12 + 2x) + -2(2x + 4) + 10x + -61 Reorder the terms: -40 + 12x = 12 + 2x + -2(4 + 2x) + 10x + -61 -40 + 12x = 12 + 2x + (4 * -2 + 2x * -2) + 10x + -61 -40 + 12x = 12 + 2x + (-8 + -4x) + 10x + -61 Reorder the terms: -40 + 12x = 12 + -8 + -61 + 2x + -4x + 10x Combine like terms: 12 + -8 = 4 -40 + 12x = 4 + -61 + 2x + -4x + 10x Combine like terms: 4 + -61 = -57 -40 + 12x = -57 + 2x + -4x + 10x Combine like terms: 2x + -4x = -2x -40 + 12x = -57 + -2x + 10x Combine like terms: -2x + 10x = 8x -40 + 12x = -57 + 8x Solving -40 + 12x = -57 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 12x + -8x = -57 + 8x + -8x Combine like terms: 12x + -8x = 4x -40 + 4x = -57 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 4x = -57 + 0 -40 + 4x = -57 Add '40' to each side of the equation. -40 + 40 + 4x = -57 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -57 + 40 4x = -57 + 40 Combine like terms: -57 + 40 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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