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Simplifying 3(x + 6) + -1(x + 3) = 4x + 5 Reorder the terms: 3(6 + x) + -1(x + 3) = 4x + 5 (6 * 3 + x * 3) + -1(x + 3) = 4x + 5 (18 + 3x) + -1(x + 3) = 4x + 5 Reorder the terms: 18 + 3x + -1(3 + x) = 4x + 5 18 + 3x + (3 * -1 + x * -1) = 4x + 5 18 + 3x + (-3 + -1x) = 4x + 5 Reorder the terms: 18 + -3 + 3x + -1x = 4x + 5 Combine like terms: 18 + -3 = 15 15 + 3x + -1x = 4x + 5 Combine like terms: 3x + -1x = 2x 15 + 2x = 4x + 5 Reorder the terms: 15 + 2x = 5 + 4x Solving 15 + 2x = 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 + 2x + -4x = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x 15 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2x = 5 + 0 15 + -2x = 5 Add '-15' to each side of the equation. 15 + -15 + -2x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 5 + -15 -2x = 5 + -15 Combine like terms: 5 + -15 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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