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Simplifying 2x + -4 = 2(x + -6) + -1(x + -10) Reorder the terms: -4 + 2x = 2(x + -6) + -1(x + -10) Reorder the terms: -4 + 2x = 2(-6 + x) + -1(x + -10) -4 + 2x = (-6 * 2 + x * 2) + -1(x + -10) -4 + 2x = (-12 + 2x) + -1(x + -10) Reorder the terms: -4 + 2x = -12 + 2x + -1(-10 + x) -4 + 2x = -12 + 2x + (-10 * -1 + x * -1) -4 + 2x = -12 + 2x + (10 + -1x) Reorder the terms: -4 + 2x = -12 + 10 + 2x + -1x Combine like terms: -12 + 10 = -2 -4 + 2x = -2 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + 2x = -2 + 1x Solving -4 + 2x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 2x + -1x = -2 + 1x + -1x Combine like terms: 2x + -1x = 1x -4 + 1x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 1x = -2 + 0 -4 + 1x = -2 Add '4' to each side of the equation. -4 + 4 + 1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -2 + 4 1x = -2 + 4 Combine like terms: -2 + 4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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