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Simplifying 7(x + -3) + -2(1 + -5x) = -5 + 3(2x + 5) Reorder the terms: 7(-3 + x) + -2(1 + -5x) = -5 + 3(2x + 5) (-3 * 7 + x * 7) + -2(1 + -5x) = -5 + 3(2x + 5) (-21 + 7x) + -2(1 + -5x) = -5 + 3(2x + 5) -21 + 7x + (1 * -2 + -5x * -2) = -5 + 3(2x + 5) -21 + 7x + (-2 + 10x) = -5 + 3(2x + 5) Reorder the terms: -21 + -2 + 7x + 10x = -5 + 3(2x + 5) Combine like terms: -21 + -2 = -23 -23 + 7x + 10x = -5 + 3(2x + 5) Combine like terms: 7x + 10x = 17x -23 + 17x = -5 + 3(2x + 5) Reorder the terms: -23 + 17x = -5 + 3(5 + 2x) -23 + 17x = -5 + (5 * 3 + 2x * 3) -23 + 17x = -5 + (15 + 6x) Combine like terms: -5 + 15 = 10 -23 + 17x = 10 + 6x Solving -23 + 17x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -23 + 17x + -6x = 10 + 6x + -6x Combine like terms: 17x + -6x = 11x -23 + 11x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 11x = 10 + 0 -23 + 11x = 10 Add '23' to each side of the equation. -23 + 23 + 11x = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 11x = 10 + 23 11x = 10 + 23 Combine like terms: 10 + 23 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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