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Simplifying 5(6x + -3) = 3(8x + 1) Reorder the terms: 5(-3 + 6x) = 3(8x + 1) (-3 * 5 + 6x * 5) = 3(8x + 1) (-15 + 30x) = 3(8x + 1) Reorder the terms: -15 + 30x = 3(1 + 8x) -15 + 30x = (1 * 3 + 8x * 3) -15 + 30x = (3 + 24x) Solving -15 + 30x = 3 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -15 + 30x + -24x = 3 + 24x + -24x Combine like terms: 30x + -24x = 6x -15 + 6x = 3 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + 6x = 3 + 0 -15 + 6x = 3 Add '15' to each side of the equation. -15 + 15 + 6x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 3 + 15 6x = 3 + 15 Combine like terms: 3 + 15 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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