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Simplifying 6(x + 1) + -1(6x + -4) = 2(2x + -3) + 2 Reorder the terms: 6(1 + x) + -1(6x + -4) = 2(2x + -3) + 2 (1 * 6 + x * 6) + -1(6x + -4) = 2(2x + -3) + 2 (6 + 6x) + -1(6x + -4) = 2(2x + -3) + 2 Reorder the terms: 6 + 6x + -1(-4 + 6x) = 2(2x + -3) + 2 6 + 6x + (-4 * -1 + 6x * -1) = 2(2x + -3) + 2 6 + 6x + (4 + -6x) = 2(2x + -3) + 2 Reorder the terms: 6 + 4 + 6x + -6x = 2(2x + -3) + 2 Combine like terms: 6 + 4 = 10 10 + 6x + -6x = 2(2x + -3) + 2 Combine like terms: 6x + -6x = 0 10 + 0 = 2(2x + -3) + 2 10 = 2(2x + -3) + 2 Reorder the terms: 10 = 2(-3 + 2x) + 2 10 = (-3 * 2 + 2x * 2) + 2 10 = (-6 + 4x) + 2 Reorder the terms: 10 = -6 + 2 + 4x Combine like terms: -6 + 2 = -4 10 = -4 + 4x Solving 10 = -4 + 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. 10 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -4x = -4 + 0 10 + -4x = -4 Add '-10' to each side of the equation. 10 + -10 + -4x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -4 + -10 -4x = -4 + -10 Combine like terms: -4 + -10 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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