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Simplifying 1.5(4x + -2) = 2(0.5x + -3.5) Reorder the terms: 1.5(-2 + 4x) = 2(0.5x + -3.5) (-2 * 1.5 + 4x * 1.5) = 2(0.5x + -3.5) (-3 + 6x) = 2(0.5x + -3.5) Reorder the terms: -3 + 6x = 2(-3.5 + 0.5x) -3 + 6x = (-3.5 * 2 + 0.5x * 2) -3 + 6x = (-7 + 1x) Solving -3 + 6x = -7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 6x + -1x = -7 + 1x + -1x Combine like terms: 6x + -1x = 5x -3 + 5x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + 5x = -7 + 0 -3 + 5x = -7 Add '3' to each side of the equation. -3 + 3 + 5x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -7 + 3 5x = -7 + 3 Combine like terms: -7 + 3 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
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