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Simplifying 9(2x + 5) = 6(x + -2) + -3 Reorder the terms: 9(5 + 2x) = 6(x + -2) + -3 (5 * 9 + 2x * 9) = 6(x + -2) + -3 (45 + 18x) = 6(x + -2) + -3 Reorder the terms: 45 + 18x = 6(-2 + x) + -3 45 + 18x = (-2 * 6 + x * 6) + -3 45 + 18x = (-12 + 6x) + -3 Reorder the terms: 45 + 18x = -12 + -3 + 6x Combine like terms: -12 + -3 = -15 45 + 18x = -15 + 6x Solving 45 + 18x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 18x + -6x = -15 + 6x + -6x Combine like terms: 18x + -6x = 12x 45 + 12x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 12x = -15 + 0 45 + 12x = -15 Add '-45' to each side of the equation. 45 + -45 + 12x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 12x = -15 + -45 12x = -15 + -45 Combine like terms: -15 + -45 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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