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