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Simplifying 5(2x + -3) + 9 = 6 + -3(2x + -4) Reorder the terms: 5(-3 + 2x) + 9 = 6 + -3(2x + -4) (-3 * 5 + 2x * 5) + 9 = 6 + -3(2x + -4) (-15 + 10x) + 9 = 6 + -3(2x + -4) Reorder the terms: -15 + 9 + 10x = 6 + -3(2x + -4) Combine like terms: -15 + 9 = -6 -6 + 10x = 6 + -3(2x + -4) Reorder the terms: -6 + 10x = 6 + -3(-4 + 2x) -6 + 10x = 6 + (-4 * -3 + 2x * -3) -6 + 10x = 6 + (12 + -6x) Combine like terms: 6 + 12 = 18 -6 + 10x = 18 + -6x Solving -6 + 10x = 18 + -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. -6 + 10x + 6x = 18 + -6x + 6x Combine like terms: 10x + 6x = 16x -6 + 16x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 16x = 18 + 0 -6 + 16x = 18 Add '6' to each side of the equation. -6 + 6 + 16x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 18 + 6 16x = 18 + 6 Combine like terms: 18 + 6 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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