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Simplifying 4(-3x + 8) = 4(7 + -2x) Reorder the terms: 4(8 + -3x) = 4(7 + -2x) (8 * 4 + -3x * 4) = 4(7 + -2x) (32 + -12x) = 4(7 + -2x) 32 + -12x = (7 * 4 + -2x * 4) 32 + -12x = (28 + -8x) Solving 32 + -12x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 32 + -12x + 8x = 28 + -8x + 8x Combine like terms: -12x + 8x = -4x 32 + -4x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + -4x = 28 + 0 32 + -4x = 28 Add '-32' to each side of the equation. 32 + -32 + -4x = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = 28 + -32 -4x = 28 + -32 Combine like terms: 28 + -32 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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