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Simplifying 3(2x + -5) = -2(x + 1) Reorder the terms: 3(-5 + 2x) = -2(x + 1) (-5 * 3 + 2x * 3) = -2(x + 1) (-15 + 6x) = -2(x + 1) Reorder the terms: -15 + 6x = -2(1 + x) -15 + 6x = (1 * -2 + x * -2) -15 + 6x = (-2 + -2x) Solving -15 + 6x = -2 + -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 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = -2 + 0 -15 + 8x = -2 Add '15' to each side of the equation. -15 + 15 + 8x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -2 + 15 8x = -2 + 15 Combine like terms: -2 + 15 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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