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Simplifying 5(9x + -3) = 8(6x + -3) Reorder the terms: 5(-3 + 9x) = 8(6x + -3) (-3 * 5 + 9x * 5) = 8(6x + -3) (-15 + 45x) = 8(6x + -3) Reorder the terms: -15 + 45x = 8(-3 + 6x) -15 + 45x = (-3 * 8 + 6x * 8) -15 + 45x = (-24 + 48x) Solving -15 + 45x = -24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -15 + 45x + -48x = -24 + 48x + -48x Combine like terms: 45x + -48x = -3x -15 + -3x = -24 + 48x + -48x Combine like terms: 48x + -48x = 0 -15 + -3x = -24 + 0 -15 + -3x = -24 Add '15' to each side of the equation. -15 + 15 + -3x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -24 + 15 -3x = -24 + 15 Combine like terms: -24 + 15 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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