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Simplifying 2 = 3(x + -4) + -1(x + -6) Reorder the terms: 2 = 3(-4 + x) + -1(x + -6) 2 = (-4 * 3 + x * 3) + -1(x + -6) 2 = (-12 + 3x) + -1(x + -6) Reorder the terms: 2 = -12 + 3x + -1(-6 + x) 2 = -12 + 3x + (-6 * -1 + x * -1) 2 = -12 + 3x + (6 + -1x) Reorder the terms: 2 = -12 + 6 + 3x + -1x Combine like terms: -12 + 6 = -6 2 = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x 2 = -6 + 2x Solving 2 = -6 + 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. 2 + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -2x = -6 + 0 2 + -2x = -6 Add '-2' to each side of the equation. 2 + -2 + -2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -6 + -2 -2x = -6 + -2 Combine like terms: -6 + -2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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