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Simplifying -5(6x + -3) = 2(8x + 3) Reorder the terms: -5(-3 + 6x) = 2(8x + 3) (-3 * -5 + 6x * -5) = 2(8x + 3) (15 + -30x) = 2(8x + 3) Reorder the terms: 15 + -30x = 2(3 + 8x) 15 + -30x = (3 * 2 + 8x * 2) 15 + -30x = (6 + 16x) Solving 15 + -30x = 6 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + -30x + -16x = 6 + 16x + -16x Combine like terms: -30x + -16x = -46x 15 + -46x = 6 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -46x = 6 + 0 15 + -46x = 6 Add '-15' to each side of the equation. 15 + -15 + -46x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -46x = 6 + -15 -46x = 6 + -15 Combine like terms: 6 + -15 = -9 -46x = -9 Divide each side by '-46'. x = 0.1956521739 Simplifying x = 0.1956521739
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