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Simplifying 3x + -5 = 2.5x + 3 + -1(x + -4) Reorder the terms: -5 + 3x = 2.5x + 3 + -1(x + -4) Reorder the terms: -5 + 3x = 2.5x + 3 + -1(-4 + x) -5 + 3x = 2.5x + 3 + (-4 * -1 + x * -1) -5 + 3x = 2.5x + 3 + (4 + -1x) Reorder the terms: -5 + 3x = 3 + 4 + 2.5x + -1x Combine like terms: 3 + 4 = 7 -5 + 3x = 7 + 2.5x + -1x Combine like terms: 2.5x + -1x = 1.5x -5 + 3x = 7 + 1.5x Solving -5 + 3x = 7 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5 + 3x + -1.5x = 7 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -5 + 1.5x = 7 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5 + 1.5x = 7 + 0.0 -5 + 1.5x = 7 Add '5' to each side of the equation. -5 + 5 + 1.5x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1.5x = 7 + 5 1.5x = 7 + 5 Combine like terms: 7 + 5 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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