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Simplifying 4(2x + -15) = 40 + -3(x + 2) Reorder the terms: 4(-15 + 2x) = 40 + -3(x + 2) (-15 * 4 + 2x * 4) = 40 + -3(x + 2) (-60 + 8x) = 40 + -3(x + 2) Reorder the terms: -60 + 8x = 40 + -3(2 + x) -60 + 8x = 40 + (2 * -3 + x * -3) -60 + 8x = 40 + (-6 + -3x) Combine like terms: 40 + -6 = 34 -60 + 8x = 34 + -3x Solving -60 + 8x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -60 + 8x + 3x = 34 + -3x + 3x Combine like terms: 8x + 3x = 11x -60 + 11x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 -60 + 11x = 34 + 0 -60 + 11x = 34 Add '60' to each side of the equation. -60 + 60 + 11x = 34 + 60 Combine like terms: -60 + 60 = 0 0 + 11x = 34 + 60 11x = 34 + 60 Combine like terms: 34 + 60 = 94 11x = 94 Divide each side by '11'. x = 8.545454545 Simplifying x = 8.545454545
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