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Simplifying 7(x + -1) + -3 = 2x + -5(x + 6) Reorder the terms: 7(-1 + x) + -3 = 2x + -5(x + 6) (-1 * 7 + x * 7) + -3 = 2x + -5(x + 6) (-7 + 7x) + -3 = 2x + -5(x + 6) Reorder the terms: -7 + -3 + 7x = 2x + -5(x + 6) Combine like terms: -7 + -3 = -10 -10 + 7x = 2x + -5(x + 6) Reorder the terms: -10 + 7x = 2x + -5(6 + x) -10 + 7x = 2x + (6 * -5 + x * -5) -10 + 7x = 2x + (-30 + -5x) Reorder the terms: -10 + 7x = -30 + 2x + -5x Combine like terms: 2x + -5x = -3x -10 + 7x = -30 + -3x Solving -10 + 7x = -30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 7x + 3x = -30 + -3x + 3x Combine like terms: 7x + 3x = 10x -10 + 10x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 10x = -30 + 0 -10 + 10x = -30 Add '10' to each side of the equation. -10 + 10 + 10x = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -30 + 10 10x = -30 + 10 Combine like terms: -30 + 10 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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