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Simplifying 4x + -2(3x + -4) + 4 = -1x + 3(x + 1) + 1 Reorder the terms: 4x + -2(-4 + 3x) + 4 = -1x + 3(x + 1) + 1 4x + (-4 * -2 + 3x * -2) + 4 = -1x + 3(x + 1) + 1 4x + (8 + -6x) + 4 = -1x + 3(x + 1) + 1 Reorder the terms: 8 + 4 + 4x + -6x = -1x + 3(x + 1) + 1 Combine like terms: 8 + 4 = 12 12 + 4x + -6x = -1x + 3(x + 1) + 1 Combine like terms: 4x + -6x = -2x 12 + -2x = -1x + 3(x + 1) + 1 Reorder the terms: 12 + -2x = -1x + 3(1 + x) + 1 12 + -2x = -1x + (1 * 3 + x * 3) + 1 12 + -2x = -1x + (3 + 3x) + 1 Reorder the terms: 12 + -2x = 3 + 1 + -1x + 3x Combine like terms: 3 + 1 = 4 12 + -2x = 4 + -1x + 3x Combine like terms: -1x + 3x = 2x 12 + -2x = 4 + 2x Solving 12 + -2x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -2x + -2x = 4 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = 4 + 0 12 + -4x = 4 Add '-12' to each side of the equation. 12 + -12 + -4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 4 + -12 -4x = 4 + -12 Combine like terms: 4 + -12 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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