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Simplifying 5(2x + -1) + -15 = 3(4x + 2) * 4 Reorder the terms: 5(-1 + 2x) + -15 = 3(4x + 2) * 4 (-1 * 5 + 2x * 5) + -15 = 3(4x + 2) * 4 (-5 + 10x) + -15 = 3(4x + 2) * 4 Reorder the terms: -5 + -15 + 10x = 3(4x + 2) * 4 Combine like terms: -5 + -15 = -20 -20 + 10x = 3(4x + 2) * 4 Reorder the terms: -20 + 10x = 3(2 + 4x) * 4 Reorder the terms for easier multiplication: -20 + 10x = 3 * 4(2 + 4x) Multiply 3 * 4 -20 + 10x = 12(2 + 4x) -20 + 10x = (2 * 12 + 4x * 12) -20 + 10x = (24 + 48x) Solving -20 + 10x = 24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -20 + 10x + -48x = 24 + 48x + -48x Combine like terms: 10x + -48x = -38x -20 + -38x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 -20 + -38x = 24 + 0 -20 + -38x = 24 Add '20' to each side of the equation. -20 + 20 + -38x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -38x = 24 + 20 -38x = 24 + 20 Combine like terms: 24 + 20 = 44 -38x = 44 Divide each side by '-38'. x = -1.157894737 Simplifying x = -1.157894737
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