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Simplifying -1.5(2x + -4 + 4x) + 5x = -0.5(1 + -7x) Reorder the terms: -1.5(-4 + 2x + 4x) + 5x = -0.5(1 + -7x) Combine like terms: 2x + 4x = 6x -1.5(-4 + 6x) + 5x = -0.5(1 + -7x) (-4 * -1.5 + 6x * -1.5) + 5x = -0.5(1 + -7x) (6 + -9x) + 5x = -0.5(1 + -7x) Combine like terms: -9x + 5x = -4x 6 + -4x = -0.5(1 + -7x) 6 + -4x = (1 * -0.5 + -7x * -0.5) 6 + -4x = (-0.5 + 3.5x) Solving 6 + -4x = -0.5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 6 + -4x + -3.5x = -0.5 + 3.5x + -3.5x Combine like terms: -4x + -3.5x = -7.5x 6 + -7.5x = -0.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 6 + -7.5x = -0.5 + 0.0 6 + -7.5x = -0.5 Add '-6' to each side of the equation. 6 + -6 + -7.5x = -0.5 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5x = -0.5 + -6 -7.5x = -0.5 + -6 Combine like terms: -0.5 + -6 = -6.5 -7.5x = -6.5 Divide each side by '-7.5'. x = 0.8666666667 Simplifying x = 0.8666666667
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