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Simplifying 5(2x + -6) + 2(4x + 3) = 8x + -9 Reorder the terms: 5(-6 + 2x) + 2(4x + 3) = 8x + -9 (-6 * 5 + 2x * 5) + 2(4x + 3) = 8x + -9 (-30 + 10x) + 2(4x + 3) = 8x + -9 Reorder the terms: -30 + 10x + 2(3 + 4x) = 8x + -9 -30 + 10x + (3 * 2 + 4x * 2) = 8x + -9 -30 + 10x + (6 + 8x) = 8x + -9 Reorder the terms: -30 + 6 + 10x + 8x = 8x + -9 Combine like terms: -30 + 6 = -24 -24 + 10x + 8x = 8x + -9 Combine like terms: 10x + 8x = 18x -24 + 18x = 8x + -9 Reorder the terms: -24 + 18x = -9 + 8x Solving -24 + 18x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 18x + -8x = -9 + 8x + -8x Combine like terms: 18x + -8x = 10x -24 + 10x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 10x = -9 + 0 -24 + 10x = -9 Add '24' to each side of the equation. -24 + 24 + 10x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = -9 + 24 10x = -9 + 24 Combine like terms: -9 + 24 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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