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Simplifying 5(2x + -1) = 3(5x + -4) Reorder the terms: 5(-1 + 2x) = 3(5x + -4) (-1 * 5 + 2x * 5) = 3(5x + -4) (-5 + 10x) = 3(5x + -4) Reorder the terms: -5 + 10x = 3(-4 + 5x) -5 + 10x = (-4 * 3 + 5x * 3) -5 + 10x = (-12 + 15x) Solving -5 + 10x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 10x + -15x = -12 + 15x + -15x Combine like terms: 10x + -15x = -5x -5 + -5x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -5x = -12 + 0 -5 + -5x = -12 Add '5' to each side of the equation. -5 + 5 + -5x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -12 + 5 -5x = -12 + 5 Combine like terms: -12 + 5 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4
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