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Simplifying 7(x + -6) + 2 = 5(2x + -1) + -5 Reorder the terms: 7(-6 + x) + 2 = 5(2x + -1) + -5 (-6 * 7 + x * 7) + 2 = 5(2x + -1) + -5 (-42 + 7x) + 2 = 5(2x + -1) + -5 Reorder the terms: -42 + 2 + 7x = 5(2x + -1) + -5 Combine like terms: -42 + 2 = -40 -40 + 7x = 5(2x + -1) + -5 Reorder the terms: -40 + 7x = 5(-1 + 2x) + -5 -40 + 7x = (-1 * 5 + 2x * 5) + -5 -40 + 7x = (-5 + 10x) + -5 Reorder the terms: -40 + 7x = -5 + -5 + 10x Combine like terms: -5 + -5 = -10 -40 + 7x = -10 + 10x Solving -40 + 7x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 7x + -10x = -10 + 10x + -10x Combine like terms: 7x + -10x = -3x -40 + -3x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + -3x = -10 + 0 -40 + -3x = -10 Add '40' to each side of the equation. -40 + 40 + -3x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = -10 + 40 -3x = -10 + 40 Combine like terms: -10 + 40 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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