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Simplifying 4(-2x + 7) = 32(x + -8) Reorder the terms: 4(7 + -2x) = 32(x + -8) (7 * 4 + -2x * 4) = 32(x + -8) (28 + -8x) = 32(x + -8) Reorder the terms: 28 + -8x = 32(-8 + x) 28 + -8x = (-8 * 32 + x * 32) 28 + -8x = (-256 + 32x) Solving 28 + -8x = -256 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 28 + -8x + -32x = -256 + 32x + -32x Combine like terms: -8x + -32x = -40x 28 + -40x = -256 + 32x + -32x Combine like terms: 32x + -32x = 0 28 + -40x = -256 + 0 28 + -40x = -256 Add '-28' to each side of the equation. 28 + -28 + -40x = -256 + -28 Combine like terms: 28 + -28 = 0 0 + -40x = -256 + -28 -40x = -256 + -28 Combine like terms: -256 + -28 = -284 -40x = -284 Divide each side by '-40'. x = 7.1 Simplifying x = 7.1
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