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Simplifying 3(x + 1) + -2(x + -6) = 4x + 5 Reorder the terms: 3(1 + x) + -2(x + -6) = 4x + 5 (1 * 3 + x * 3) + -2(x + -6) = 4x + 5 (3 + 3x) + -2(x + -6) = 4x + 5 Reorder the terms: 3 + 3x + -2(-6 + x) = 4x + 5 3 + 3x + (-6 * -2 + x * -2) = 4x + 5 3 + 3x + (12 + -2x) = 4x + 5 Reorder the terms: 3 + 12 + 3x + -2x = 4x + 5 Combine like terms: 3 + 12 = 15 15 + 3x + -2x = 4x + 5 Combine like terms: 3x + -2x = 1x 15 + 1x = 4x + 5 Reorder the terms: 15 + 1x = 5 + 4x Solving 15 + 1x = 5 + 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. 15 + 1x + -4x = 5 + 4x + -4x Combine like terms: 1x + -4x = -3x 15 + -3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -3x = 5 + 0 15 + -3x = 5 Add '-15' to each side of the equation. 15 + -15 + -3x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 5 + -15 -3x = 5 + -15 Combine like terms: 5 + -15 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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