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Simplifying 4(5x + -12) = -2(2x + -25) + 10 Reorder the terms: 4(-12 + 5x) = -2(2x + -25) + 10 (-12 * 4 + 5x * 4) = -2(2x + -25) + 10 (-48 + 20x) = -2(2x + -25) + 10 Reorder the terms: -48 + 20x = -2(-25 + 2x) + 10 -48 + 20x = (-25 * -2 + 2x * -2) + 10 -48 + 20x = (50 + -4x) + 10 Reorder the terms: -48 + 20x = 50 + 10 + -4x Combine like terms: 50 + 10 = 60 -48 + 20x = 60 + -4x Solving -48 + 20x = 60 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -48 + 20x + 4x = 60 + -4x + 4x Combine like terms: 20x + 4x = 24x -48 + 24x = 60 + -4x + 4x Combine like terms: -4x + 4x = 0 -48 + 24x = 60 + 0 -48 + 24x = 60 Add '48' to each side of the equation. -48 + 48 + 24x = 60 + 48 Combine like terms: -48 + 48 = 0 0 + 24x = 60 + 48 24x = 60 + 48 Combine like terms: 60 + 48 = 108 24x = 108 Divide each side by '24'. x = 4.5 Simplifying x = 4.5
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