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Simplifying 6x + -1(x + -5) = 3(x + -2) + 7 Reorder the terms: 6x + -1(-5 + x) = 3(x + -2) + 7 6x + (-5 * -1 + x * -1) = 3(x + -2) + 7 6x + (5 + -1x) = 3(x + -2) + 7 Reorder the terms: 5 + 6x + -1x = 3(x + -2) + 7 Combine like terms: 6x + -1x = 5x 5 + 5x = 3(x + -2) + 7 Reorder the terms: 5 + 5x = 3(-2 + x) + 7 5 + 5x = (-2 * 3 + x * 3) + 7 5 + 5x = (-6 + 3x) + 7 Reorder the terms: 5 + 5x = -6 + 7 + 3x Combine like terms: -6 + 7 = 1 5 + 5x = 1 + 3x Solving 5 + 5x = 1 + 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. 5 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x 5 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 2x = 1 + 0 5 + 2x = 1 Add '-5' to each side of the equation. 5 + -5 + 2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 1 + -5 2x = 1 + -5 Combine like terms: 1 + -5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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