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Simplifying 6 + -7(x + -1) = 8 + 3(x + -5) Reorder the terms: 6 + -7(-1 + x) = 8 + 3(x + -5) 6 + (-1 * -7 + x * -7) = 8 + 3(x + -5) 6 + (7 + -7x) = 8 + 3(x + -5) Combine like terms: 6 + 7 = 13 13 + -7x = 8 + 3(x + -5) Reorder the terms: 13 + -7x = 8 + 3(-5 + x) 13 + -7x = 8 + (-5 * 3 + x * 3) 13 + -7x = 8 + (-15 + 3x) Combine like terms: 8 + -15 = -7 13 + -7x = -7 + 3x Solving 13 + -7x = -7 + 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. 13 + -7x + -3x = -7 + 3x + -3x Combine like terms: -7x + -3x = -10x 13 + -10x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -10x = -7 + 0 13 + -10x = -7 Add '-13' to each side of the equation. 13 + -13 + -10x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -7 + -13 -10x = -7 + -13 Combine like terms: -7 + -13 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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