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Simplifying 4(2x + -1) = 3(5x + -2) + -5 Reorder the terms: 4(-1 + 2x) = 3(5x + -2) + -5 (-1 * 4 + 2x * 4) = 3(5x + -2) + -5 (-4 + 8x) = 3(5x + -2) + -5 Reorder the terms: -4 + 8x = 3(-2 + 5x) + -5 -4 + 8x = (-2 * 3 + 5x * 3) + -5 -4 + 8x = (-6 + 15x) + -5 Reorder the terms: -4 + 8x = -6 + -5 + 15x Combine like terms: -6 + -5 = -11 -4 + 8x = -11 + 15x Solving -4 + 8x = -11 + 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. -4 + 8x + -15x = -11 + 15x + -15x Combine like terms: 8x + -15x = -7x -4 + -7x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -7x = -11 + 0 -4 + -7x = -11 Add '4' to each side of the equation. -4 + 4 + -7x = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = -11 + 4 -7x = -11 + 4 Combine like terms: -11 + 4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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