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Simplifying 5(2x + -3) + 6 = 2x + -2(5x + 3) + 5 Reorder the terms: 5(-3 + 2x) + 6 = 2x + -2(5x + 3) + 5 (-3 * 5 + 2x * 5) + 6 = 2x + -2(5x + 3) + 5 (-15 + 10x) + 6 = 2x + -2(5x + 3) + 5 Reorder the terms: -15 + 6 + 10x = 2x + -2(5x + 3) + 5 Combine like terms: -15 + 6 = -9 -9 + 10x = 2x + -2(5x + 3) + 5 Reorder the terms: -9 + 10x = 2x + -2(3 + 5x) + 5 -9 + 10x = 2x + (3 * -2 + 5x * -2) + 5 -9 + 10x = 2x + (-6 + -10x) + 5 Reorder the terms: -9 + 10x = -6 + 5 + 2x + -10x Combine like terms: -6 + 5 = -1 -9 + 10x = -1 + 2x + -10x Combine like terms: 2x + -10x = -8x -9 + 10x = -1 + -8x Solving -9 + 10x = -1 + -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. -9 + 10x + 8x = -1 + -8x + 8x Combine like terms: 10x + 8x = 18x -9 + 18x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 18x = -1 + 0 -9 + 18x = -1 Add '9' to each side of the equation. -9 + 9 + 18x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 18x = -1 + 9 18x = -1 + 9 Combine like terms: -1 + 9 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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