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Simplifying 4(3x + 3) + 5(2x + 3) = -1(2x + 13) Reorder the terms: 4(3 + 3x) + 5(2x + 3) = -1(2x + 13) (3 * 4 + 3x * 4) + 5(2x + 3) = -1(2x + 13) (12 + 12x) + 5(2x + 3) = -1(2x + 13) Reorder the terms: 12 + 12x + 5(3 + 2x) = -1(2x + 13) 12 + 12x + (3 * 5 + 2x * 5) = -1(2x + 13) 12 + 12x + (15 + 10x) = -1(2x + 13) Reorder the terms: 12 + 15 + 12x + 10x = -1(2x + 13) Combine like terms: 12 + 15 = 27 27 + 12x + 10x = -1(2x + 13) Combine like terms: 12x + 10x = 22x 27 + 22x = -1(2x + 13) Reorder the terms: 27 + 22x = -1(13 + 2x) 27 + 22x = (13 * -1 + 2x * -1) 27 + 22x = (-13 + -2x) Solving 27 + 22x = -13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 22x + 2x = -13 + -2x + 2x Combine like terms: 22x + 2x = 24x 27 + 24x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 24x = -13 + 0 27 + 24x = -13 Add '-27' to each side of the equation. 27 + -27 + 24x = -13 + -27 Combine like terms: 27 + -27 = 0 0 + 24x = -13 + -27 24x = -13 + -27 Combine like terms: -13 + -27 = -40 24x = -40 Divide each side by '24'. x = -1.666666667 Simplifying x = -1.666666667
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