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Simplifying 5(x + -15) = -2(18 + -1x) Reorder the terms: 5(-15 + x) = -2(18 + -1x) (-15 * 5 + x * 5) = -2(18 + -1x) (-75 + 5x) = -2(18 + -1x) -75 + 5x = (18 * -2 + -1x * -2) -75 + 5x = (-36 + 2x) Solving -75 + 5x = -36 + 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. -75 + 5x + -2x = -36 + 2x + -2x Combine like terms: 5x + -2x = 3x -75 + 3x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -75 + 3x = -36 + 0 -75 + 3x = -36 Add '75' to each side of the equation. -75 + 75 + 3x = -36 + 75 Combine like terms: -75 + 75 = 0 0 + 3x = -36 + 75 3x = -36 + 75 Combine like terms: -36 + 75 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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