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Simplifying 4 = 3(x + -4) + -1(x + -6) Reorder the terms: 4 = 3(-4 + x) + -1(x + -6) 4 = (-4 * 3 + x * 3) + -1(x + -6) 4 = (-12 + 3x) + -1(x + -6) Reorder the terms: 4 = -12 + 3x + -1(-6 + x) 4 = -12 + 3x + (-6 * -1 + x * -1) 4 = -12 + 3x + (6 + -1x) Reorder the terms: 4 = -12 + 6 + 3x + -1x Combine like terms: -12 + 6 = -6 4 = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x 4 = -6 + 2x Solving 4 = -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. 4 + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -2x = -6 + 0 4 + -2x = -6 Add '-4' to each side of the equation. 4 + -4 + -2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -6 + -4 -2x = -6 + -4 Combine like terms: -6 + -4 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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