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Simplifying 2(x + -3) = 1.5(x + -4) + x Reorder the terms: 2(-3 + x) = 1.5(x + -4) + x (-3 * 2 + x * 2) = 1.5(x + -4) + x (-6 + 2x) = 1.5(x + -4) + x Reorder the terms: -6 + 2x = 1.5(-4 + x) + x -6 + 2x = (-4 * 1.5 + x * 1.5) + x -6 + 2x = (-6 + 1.5x) + x Combine like terms: 1.5x + x = 2.5x -6 + 2x = -6 + 2.5x Add '6' to each side of the equation. -6 + 6 + 2x = -6 + 6 + 2.5x Combine like terms: -6 + 6 = 0 0 + 2x = -6 + 6 + 2.5x 2x = -6 + 6 + 2.5x Combine like terms: -6 + 6 = 0 2x = 0 + 2.5x 2x = 2.5x Solving 2x = 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 2x + -2.5x = 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x -0.5x = 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -0.5x = 0.0 Divide each side by '-0.5'. x = 0 Simplifying x = 0
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