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Simplifying 4.5(x + -2) = 1.5x + 2(3x + -4) + -1 Reorder the terms: 4.5(-2 + x) = 1.5x + 2(3x + -4) + -1 (-2 * 4.5 + x * 4.5) = 1.5x + 2(3x + -4) + -1 (-9 + 4.5x) = 1.5x + 2(3x + -4) + -1 Reorder the terms: -9 + 4.5x = 1.5x + 2(-4 + 3x) + -1 -9 + 4.5x = 1.5x + (-4 * 2 + 3x * 2) + -1 -9 + 4.5x = 1.5x + (-8 + 6x) + -1 Reorder the terms: -9 + 4.5x = -8 + -1 + 1.5x + 6x Combine like terms: -8 + -1 = -9 -9 + 4.5x = -9 + 1.5x + 6x Combine like terms: 1.5x + 6x = 7.5x -9 + 4.5x = -9 + 7.5x Add '9' to each side of the equation. -9 + 9 + 4.5x = -9 + 9 + 7.5x Combine like terms: -9 + 9 = 0 0 + 4.5x = -9 + 9 + 7.5x 4.5x = -9 + 9 + 7.5x Combine like terms: -9 + 9 = 0 4.5x = 0 + 7.5x 4.5x = 7.5x Solving 4.5x = 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 4.5x + -7.5x = 7.5x + -7.5x Combine like terms: 4.5x + -7.5x = -3x -3x = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -3x = 0.0 Divide each side by '-3'. x = 0.0 Simplifying x = 0.0
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