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Simplifying 6(x + -6) + -5(x + -1) = 2(x + 3) Reorder the terms: 6(-6 + x) + -5(x + -1) = 2(x + 3) (-6 * 6 + x * 6) + -5(x + -1) = 2(x + 3) (-36 + 6x) + -5(x + -1) = 2(x + 3) Reorder the terms: -36 + 6x + -5(-1 + x) = 2(x + 3) -36 + 6x + (-1 * -5 + x * -5) = 2(x + 3) -36 + 6x + (5 + -5x) = 2(x + 3) Reorder the terms: -36 + 5 + 6x + -5x = 2(x + 3) Combine like terms: -36 + 5 = -31 -31 + 6x + -5x = 2(x + 3) Combine like terms: 6x + -5x = 1x -31 + 1x = 2(x + 3) Reorder the terms: -31 + 1x = 2(3 + x) -31 + 1x = (3 * 2 + x * 2) -31 + 1x = (6 + 2x) Solving -31 + 1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x -31 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + -1x = 6 + 0 -31 + -1x = 6 Add '31' to each side of the equation. -31 + 31 + -1x = 6 + 31 Combine like terms: -31 + 31 = 0 0 + -1x = 6 + 31 -1x = 6 + 31 Combine like terms: 6 + 31 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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