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Simplifying 4(x + 2) = -3(-2x + -4) + x Reorder the terms: 4(2 + x) = -3(-2x + -4) + x (2 * 4 + x * 4) = -3(-2x + -4) + x (8 + 4x) = -3(-2x + -4) + x Reorder the terms: 8 + 4x = -3(-4 + -2x) + x 8 + 4x = (-4 * -3 + -2x * -3) + x 8 + 4x = (12 + 6x) + x Combine like terms: 6x + x = 7x 8 + 4x = 12 + 7x Solving 8 + 4x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 4x + -7x = 12 + 7x + -7x Combine like terms: 4x + -7x = -3x 8 + -3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -3x = 12 + 0 8 + -3x = 12 Add '-8' to each side of the equation. 8 + -8 + -3x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 12 + -8 -3x = 12 + -8 Combine like terms: 12 + -8 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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