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