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Simplifying 10 = 4(x + -2) + -1(x + -6) Reorder the terms: 10 = 4(-2 + x) + -1(x + -6) 10 = (-2 * 4 + x * 4) + -1(x + -6) 10 = (-8 + 4x) + -1(x + -6) Reorder the terms: 10 = -8 + 4x + -1(-6 + x) 10 = -8 + 4x + (-6 * -1 + x * -1) 10 = -8 + 4x + (6 + -1x) Reorder the terms: 10 = -8 + 6 + 4x + -1x Combine like terms: -8 + 6 = -2 10 = -2 + 4x + -1x Combine like terms: 4x + -1x = 3x 10 = -2 + 3x Solving 10 = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -3x = -2 + 0 10 + -3x = -2 Add '-10' to each side of the equation. 10 + -10 + -3x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -2 + -10 -3x = -2 + -10 Combine like terms: -2 + -10 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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