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Simplifying 32x + 15 = 4(7x + -12) Reorder the terms: 15 + 32x = 4(7x + -12) Reorder the terms: 15 + 32x = 4(-12 + 7x) 15 + 32x = (-12 * 4 + 7x * 4) 15 + 32x = (-48 + 28x) Solving 15 + 32x = -48 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 15 + 32x + -28x = -48 + 28x + -28x Combine like terms: 32x + -28x = 4x 15 + 4x = -48 + 28x + -28x Combine like terms: 28x + -28x = 0 15 + 4x = -48 + 0 15 + 4x = -48 Add '-15' to each side of the equation. 15 + -15 + 4x = -48 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -48 + -15 4x = -48 + -15 Combine like terms: -48 + -15 = -63 4x = -63 Divide each side by '4'. x = -15.75 Simplifying x = -15.75
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