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Simplifying 10x + -2 = (13.5x + 1.5) + -1(4.5x + -2.5) Reorder the terms: -2 + 10x = (13.5x + 1.5) + -1(4.5x + -2.5) Reorder the terms: -2 + 10x = (1.5 + 13.5x) + -1(4.5x + -2.5) Remove parenthesis around (1.5 + 13.5x) -2 + 10x = 1.5 + 13.5x + -1(4.5x + -2.5) Reorder the terms: -2 + 10x = 1.5 + 13.5x + -1(-2.5 + 4.5x) -2 + 10x = 1.5 + 13.5x + (-2.5 * -1 + 4.5x * -1) -2 + 10x = 1.5 + 13.5x + (2.5 + -4.5x) Reorder the terms: -2 + 10x = 1.5 + 2.5 + 13.5x + -4.5x Combine like terms: 1.5 + 2.5 = 4 -2 + 10x = 4 + 13.5x + -4.5x Combine like terms: 13.5x + -4.5x = 9x -2 + 10x = 4 + 9x Solving -2 + 10x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = 4 + 0 -2 + 1x = 4 Add '2' to each side of the equation. -2 + 2 + 1x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 4 + 2 1x = 4 + 2 Combine like terms: 4 + 2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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