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Simplifying 3(x + -5) = 6 + 2(x + -7) Reorder the terms: 3(-5 + x) = 6 + 2(x + -7) (-5 * 3 + x * 3) = 6 + 2(x + -7) (-15 + 3x) = 6 + 2(x + -7) Reorder the terms: -15 + 3x = 6 + 2(-7 + x) -15 + 3x = 6 + (-7 * 2 + x * 2) -15 + 3x = 6 + (-14 + 2x) Combine like terms: 6 + -14 = -8 -15 + 3x = -8 + 2x Solving -15 + 3x = -8 + 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. -15 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x -15 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 1x = -8 + 0 -15 + 1x = -8 Add '15' to each side of the equation. -15 + 15 + 1x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -8 + 15 1x = -8 + 15 Combine like terms: -8 + 15 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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