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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 = 3x -6 + 3x = 4(x + -4) + -2x Reorder the terms: -6 + 3x = 4(-4 + x) + -2x -6 + 3x = (-4 * 4 + x * 4) + -2x -6 + 3x = (-16 + 4x) + -2x Combine like terms: 4x + -2x = 2x -6 + 3x = -16 + 2x Solving -6 + 3x = -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 + 3x + -2x = -16 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = -16 + 0 -6 + 1x = -16 Add '6' to each side of the equation. -6 + 6 + 1x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -16 + 6 1x = -16 + 6 Combine like terms: -16 + 6 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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