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Simplifying 2(x + -3) + -4(x + -2) = 4(x + 6) Reorder the terms: 2(-3 + x) + -4(x + -2) = 4(x + 6) (-3 * 2 + x * 2) + -4(x + -2) = 4(x + 6) (-6 + 2x) + -4(x + -2) = 4(x + 6) Reorder the terms: -6 + 2x + -4(-2 + x) = 4(x + 6) -6 + 2x + (-2 * -4 + x * -4) = 4(x + 6) -6 + 2x + (8 + -4x) = 4(x + 6) Reorder the terms: -6 + 8 + 2x + -4x = 4(x + 6) Combine like terms: -6 + 8 = 2 2 + 2x + -4x = 4(x + 6) Combine like terms: 2x + -4x = -2x 2 + -2x = 4(x + 6) Reorder the terms: 2 + -2x = 4(6 + x) 2 + -2x = (6 * 4 + x * 4) 2 + -2x = (24 + 4x) Solving 2 + -2x = 24 + 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. 2 + -2x + -4x = 24 + 4x + -4x Combine like terms: -2x + -4x = -6x 2 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -6x = 24 + 0 2 + -6x = 24 Add '-2' to each side of the equation. 2 + -2 + -6x = 24 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 24 + -2 -6x = 24 + -2 Combine like terms: 24 + -2 = 22 -6x = 22 Divide each side by '-6'. x = -3.666666667 Simplifying x = -3.666666667
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