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Simplifying -1.5(x + 3.2) + 5 = 3x + -1(8.8) Reorder the terms: -1.5(3.2 + x) + 5 = 3x + -1(8.8) (3.2 * -1.5 + x * -1.5) + 5 = 3x + -1(8.8) (-4.8 + -1.5x) + 5 = 3x + -1(8.8) Reorder the terms: -4.8 + 5 + -1.5x = 3x + -1(8.8) Combine like terms: -4.8 + 5 = 0.2 0.2 + -1.5x = 3x + -1(8.8) Multiply -1 * 8.8 0.2 + -1.5x = 3x + -8.8 Reorder the terms: 0.2 + -1.5x = -8.8 + 3x Solving 0.2 + -1.5x = -8.8 + 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. 0.2 + -1.5x + -3x = -8.8 + 3x + -3x Combine like terms: -1.5x + -3x = -4.5x 0.2 + -4.5x = -8.8 + 3x + -3x Combine like terms: 3x + -3x = 0 0.2 + -4.5x = -8.8 + 0 0.2 + -4.5x = -8.8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -4.5x = -8.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -4.5x = -8.8 + -0.2 -4.5x = -8.8 + -0.2 Combine like terms: -8.8 + -0.2 = -9 -4.5x = -9 Divide each side by '-4.5'. x = 2 Simplifying x = 2
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