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Simplifying 2x + 3(x + -2) + -3(x + -6) = 4(x + -2) Reorder the terms: 2x + 3(-2 + x) + -3(x + -6) = 4(x + -2) 2x + (-2 * 3 + x * 3) + -3(x + -6) = 4(x + -2) 2x + (-6 + 3x) + -3(x + -6) = 4(x + -2) Reorder the terms: 2x + -6 + 3x + -3(-6 + x) = 4(x + -2) 2x + -6 + 3x + (-6 * -3 + x * -3) = 4(x + -2) 2x + -6 + 3x + (18 + -3x) = 4(x + -2) Reorder the terms: -6 + 18 + 2x + 3x + -3x = 4(x + -2) Combine like terms: -6 + 18 = 12 12 + 2x + 3x + -3x = 4(x + -2) Combine like terms: 2x + 3x = 5x 12 + 5x + -3x = 4(x + -2) Combine like terms: 5x + -3x = 2x 12 + 2x = 4(x + -2) Reorder the terms: 12 + 2x = 4(-2 + x) 12 + 2x = (-2 * 4 + x * 4) 12 + 2x = (-8 + 4x) Solving 12 + 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. 12 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -2x = -8 + 0 12 + -2x = -8 Add '-12' to each side of the equation. 12 + -12 + -2x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -8 + -12 -2x = -8 + -12 Combine like terms: -8 + -12 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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