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Simplifying 3(x + 1) + -2x = 5 + 2(2x + -6) Reorder the terms: 3(1 + x) + -2x = 5 + 2(2x + -6) (1 * 3 + x * 3) + -2x = 5 + 2(2x + -6) (3 + 3x) + -2x = 5 + 2(2x + -6) Combine like terms: 3x + -2x = 1x 3 + 1x = 5 + 2(2x + -6) Reorder the terms: 3 + 1x = 5 + 2(-6 + 2x) 3 + 1x = 5 + (-6 * 2 + 2x * 2) 3 + 1x = 5 + (-12 + 4x) Combine like terms: 5 + -12 = -7 3 + 1x = -7 + 4x Solving 3 + 1x = -7 + 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. 3 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x 3 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3x = -7 + 0 3 + -3x = -7 Add '-3' to each side of the equation. 3 + -3 + -3x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -7 + -3 -3x = -7 + -3 Combine like terms: -7 + -3 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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