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Simplifying 5(x + 3) + -9 = 2(x + -4) Reorder the terms: 5(3 + x) + -9 = 2(x + -4) (3 * 5 + x * 5) + -9 = 2(x + -4) (15 + 5x) + -9 = 2(x + -4) Reorder the terms: 15 + -9 + 5x = 2(x + -4) Combine like terms: 15 + -9 = 6 6 + 5x = 2(x + -4) Reorder the terms: 6 + 5x = 2(-4 + x) 6 + 5x = (-4 * 2 + x * 2) 6 + 5x = (-8 + 2x) Solving 6 + 5x = -8 + 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. 6 + 5x + -2x = -8 + 2x + -2x Combine like terms: 5x + -2x = 3x 6 + 3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 3x = -8 + 0 6 + 3x = -8 Add '-6' to each side of the equation. 6 + -6 + 3x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -8 + -6 3x = -8 + -6 Combine like terms: -8 + -6 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667
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