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Simplifying 5(2x + -3) = 39 + -6(x + 1) Reorder the terms: 5(-3 + 2x) = 39 + -6(x + 1) (-3 * 5 + 2x * 5) = 39 + -6(x + 1) (-15 + 10x) = 39 + -6(x + 1) Reorder the terms: -15 + 10x = 39 + -6(1 + x) -15 + 10x = 39 + (1 * -6 + x * -6) -15 + 10x = 39 + (-6 + -6x) Combine like terms: 39 + -6 = 33 -15 + 10x = 33 + -6x Solving -15 + 10x = 33 + -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 = 33 + -6x + 6x Combine like terms: 10x + 6x = 16x -15 + 16x = 33 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 16x = 33 + 0 -15 + 16x = 33 Add '15' to each side of the equation. -15 + 15 + 16x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 33 + 15 16x = 33 + 15 Combine like terms: 33 + 15 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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