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Simplifying 5(2x + -3) = 8(3x + -4) Reorder the terms: 5(-3 + 2x) = 8(3x + -4) (-3 * 5 + 2x * 5) = 8(3x + -4) (-15 + 10x) = 8(3x + -4) Reorder the terms: -15 + 10x = 8(-4 + 3x) -15 + 10x = (-4 * 8 + 3x * 8) -15 + 10x = (-32 + 24x) Solving -15 + 10x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 10x + -24x = -32 + 24x + -24x Combine like terms: 10x + -24x = -14x -15 + -14x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -14x = -32 + 0 -15 + -14x = -32 Add '15' to each side of the equation. -15 + 15 + -14x = -32 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -32 + 15 -14x = -32 + 15 Combine like terms: -32 + 15 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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