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Simplifying 4(-2x + 3) = 1 + -1(4x + 3) Reorder the terms: 4(3 + -2x) = 1 + -1(4x + 3) (3 * 4 + -2x * 4) = 1 + -1(4x + 3) (12 + -8x) = 1 + -1(4x + 3) Reorder the terms: 12 + -8x = 1 + -1(3 + 4x) 12 + -8x = 1 + (3 * -1 + 4x * -1) 12 + -8x = 1 + (-3 + -4x) Combine like terms: 1 + -3 = -2 12 + -8x = -2 + -4x Solving 12 + -8x = -2 + -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. 12 + -8x + 4x = -2 + -4x + 4x Combine like terms: -8x + 4x = -4x 12 + -4x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + -4x = -2 + 0 12 + -4x = -2 Add '-12' to each side of the equation. 12 + -12 + -4x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -2 + -12 -4x = -2 + -12 Combine like terms: -2 + -12 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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