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Simplifying 3(x + -5) = 2(2x + 7) Reorder the terms: 3(-5 + x) = 2(2x + 7) (-5 * 3 + x * 3) = 2(2x + 7) (-15 + 3x) = 2(2x + 7) Reorder the terms: -15 + 3x = 2(7 + 2x) -15 + 3x = (7 * 2 + 2x * 2) -15 + 3x = (14 + 4x) Solving -15 + 3x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -15 + 3x + -4x = 14 + 4x + -4x Combine like terms: 3x + -4x = -1x -15 + -1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -1x = 14 + 0 -15 + -1x = 14 Add '15' to each side of the equation. -15 + 15 + -1x = 14 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 14 + 15 -1x = 14 + 15 Combine like terms: 14 + 15 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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