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Simplifying 4.5(x + -2) + 1.5x = 2(3x + -4) + -1 + 3x Reorder the terms: 4.5(-2 + x) + 1.5x = 2(3x + -4) + -1 + 3x (-2 * 4.5 + x * 4.5) + 1.5x = 2(3x + -4) + -1 + 3x (-9 + 4.5x) + 1.5x = 2(3x + -4) + -1 + 3x Combine like terms: 4.5x + 1.5x = 6x -9 + 6x = 2(3x + -4) + -1 + 3x Reorder the terms: -9 + 6x = 2(-4 + 3x) + -1 + 3x -9 + 6x = (-4 * 2 + 3x * 2) + -1 + 3x -9 + 6x = (-8 + 6x) + -1 + 3x Reorder the terms: -9 + 6x = -8 + -1 + 6x + 3x Combine like terms: -8 + -1 = -9 -9 + 6x = -9 + 6x + 3x Combine like terms: 6x + 3x = 9x -9 + 6x = -9 + 9x Add '9' to each side of the equation. -9 + 9 + 6x = -9 + 9 + 9x Combine like terms: -9 + 9 = 0 0 + 6x = -9 + 9 + 9x 6x = -9 + 9 + 9x Combine like terms: -9 + 9 = 0 6x = 0 + 9x 6x = 9x Solving 6x = 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. 6x + -9x = 9x + -9x Combine like terms: 6x + -9x = -3x -3x = 9x + -9x Combine like terms: 9x + -9x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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