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Simplifying 3(2x + -2) + -4(x + -6) = 3x + 8 + x Reorder the terms: 3(-2 + 2x) + -4(x + -6) = 3x + 8 + x (-2 * 3 + 2x * 3) + -4(x + -6) = 3x + 8 + x (-6 + 6x) + -4(x + -6) = 3x + 8 + x Reorder the terms: -6 + 6x + -4(-6 + x) = 3x + 8 + x -6 + 6x + (-6 * -4 + x * -4) = 3x + 8 + x -6 + 6x + (24 + -4x) = 3x + 8 + x Reorder the terms: -6 + 24 + 6x + -4x = 3x + 8 + x Combine like terms: -6 + 24 = 18 18 + 6x + -4x = 3x + 8 + x Combine like terms: 6x + -4x = 2x 18 + 2x = 3x + 8 + x Reorder the terms: 18 + 2x = 8 + 3x + x Combine like terms: 3x + x = 4x 18 + 2x = 8 + 4x Solving 18 + 2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 18 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -2x = 8 + 0 18 + -2x = 8 Add '-18' to each side of the equation. 18 + -18 + -2x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 8 + -18 -2x = 8 + -18 Combine like terms: 8 + -18 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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