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Simplifying 5(6x + 3) = 3(2x + -2) Reorder the terms: 5(3 + 6x) = 3(2x + -2) (3 * 5 + 6x * 5) = 3(2x + -2) (15 + 30x) = 3(2x + -2) Reorder the terms: 15 + 30x = 3(-2 + 2x) 15 + 30x = (-2 * 3 + 2x * 3) 15 + 30x = (-6 + 6x) Solving 15 + 30x = -6 + 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 + 30x + -6x = -6 + 6x + -6x Combine like terms: 30x + -6x = 24x 15 + 24x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 24x = -6 + 0 15 + 24x = -6 Add '-15' to each side of the equation. 15 + -15 + 24x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 24x = -6 + -15 24x = -6 + -15 Combine like terms: -6 + -15 = -21 24x = -21 Divide each side by '24'. x = -0.875 Simplifying x = -0.875
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