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Simplifying 5(x + -3) = 2(x + -4) Reorder the terms: 5(-3 + x) = 2(x + -4) (-3 * 5 + x * 5) = 2(x + -4) (-15 + 5x) = 2(x + -4) Reorder the terms: -15 + 5x = 2(-4 + x) -15 + 5x = (-4 * 2 + x * 2) -15 + 5x = (-8 + 2x) Solving -15 + 5x = -8 + 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 + 5x + -2x = -8 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = -8 + 0 -15 + 3x = -8 Add '15' to each side of the equation. -15 + 15 + 3x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -8 + 15 3x = -8 + 15 Combine like terms: -8 + 15 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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