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Simplifying 5(2x + 3) = 6(x + -3) Reorder the terms: 5(3 + 2x) = 6(x + -3) (3 * 5 + 2x * 5) = 6(x + -3) (15 + 10x) = 6(x + -3) Reorder the terms: 15 + 10x = 6(-3 + x) 15 + 10x = (-3 * 6 + x * 6) 15 + 10x = (-18 + 6x) Solving 15 + 10x = -18 + 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. 15 + 10x + -6x = -18 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = -18 + 0 15 + 4x = -18 Add '-15' to each side of the equation. 15 + -15 + 4x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = -18 + -15 4x = -18 + -15 Combine like terms: -18 + -15 = -33 4x = -33 Divide each side by '4'. x = -8.25 Simplifying x = -8.25
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