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