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Simplifying 5(x + -3) = 2(3x + 8) Reorder the terms: 5(-3 + x) = 2(3x + 8) (-3 * 5 + x * 5) = 2(3x + 8) (-15 + 5x) = 2(3x + 8) Reorder the terms: -15 + 5x = 2(8 + 3x) -15 + 5x = (8 * 2 + 3x * 2) -15 + 5x = (16 + 6x) Solving -15 + 5x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 5x + -6x = 16 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = 16 + 0 -15 + -1x = 16 Add '15' to each side of the equation. -15 + 15 + -1x = 16 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 16 + 15 -1x = 16 + 15 Combine like terms: 16 + 15 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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