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Simplifying 5(x + 15) = 2(x + -3) Reorder the terms: 5(15 + x) = 2(x + -3) (15 * 5 + x * 5) = 2(x + -3) (75 + 5x) = 2(x + -3) Reorder the terms: 75 + 5x = 2(-3 + x) 75 + 5x = (-3 * 2 + x * 2) 75 + 5x = (-6 + 2x) Solving 75 + 5x = -6 + 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 = -6 + 2x + -2x Combine like terms: 5x + -2x = 3x 75 + 3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + 3x = -6 + 0 75 + 3x = -6 Add '-75' to each side of the equation. 75 + -75 + 3x = -6 + -75 Combine like terms: 75 + -75 = 0 0 + 3x = -6 + -75 3x = -6 + -75 Combine like terms: -6 + -75 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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