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Simplifying 5(x + -3) = 4(3 + -2x) Reorder the terms: 5(-3 + x) = 4(3 + -2x) (-3 * 5 + x * 5) = 4(3 + -2x) (-15 + 5x) = 4(3 + -2x) -15 + 5x = (3 * 4 + -2x * 4) -15 + 5x = (12 + -8x) Solving -15 + 5x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 5x + 8x = 12 + -8x + 8x Combine like terms: 5x + 8x = 13x -15 + 13x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 13x = 12 + 0 -15 + 13x = 12 Add '15' to each side of the equation. -15 + 15 + 13x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 12 + 15 13x = 12 + 15 Combine like terms: 12 + 15 = 27 13x = 27 Divide each side by '13'. x = 2.076923077 Simplifying x = 2.076923077
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