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Simplifying x + -2(x + -3) = 4(x + -4) + -2x Reorder the terms: x + -2(-3 + x) = 4(x + -4) + -2x x + (-3 * -2 + x * -2) = 4(x + -4) + -2x x + (6 + -2x) = 4(x + -4) + -2x Reorder the terms: 6 + x + -2x = 4(x + -4) + -2x Combine like terms: x + -2x = -1x 6 + -1x = 4(x + -4) + -2x Reorder the terms: 6 + -1x = 4(-4 + x) + -2x 6 + -1x = (-4 * 4 + x * 4) + -2x 6 + -1x = (-16 + 4x) + -2x Combine like terms: 4x + -2x = 2x 6 + -1x = -16 + 2x Solving 6 + -1x = -16 + 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. 6 + -1x + -2x = -16 + 2x + -2x Combine like terms: -1x + -2x = -3x 6 + -3x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -3x = -16 + 0 6 + -3x = -16 Add '-6' to each side of the equation. 6 + -6 + -3x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -16 + -6 -3x = -16 + -6 Combine like terms: -16 + -6 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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