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Simplifying 5(x + -3) = 3(2x + -1) Reorder the terms: 5(-3 + x) = 3(2x + -1) (-3 * 5 + x * 5) = 3(2x + -1) (-15 + 5x) = 3(2x + -1) Reorder the terms: -15 + 5x = 3(-1 + 2x) -15 + 5x = (-1 * 3 + 2x * 3) -15 + 5x = (-3 + 6x) Solving -15 + 5x = -3 + 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 = -3 + 6x + -6x Combine like terms: 5x + -6x = -1x -15 + -1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -1x = -3 + 0 -15 + -1x = -3 Add '15' to each side of the equation. -15 + 15 + -1x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -3 + 15 -1x = -3 + 15 Combine like terms: -3 + 15 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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