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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 = -0.5x -6 + -0.5x = -0.5 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -6 + -0.5x = -0.5 + 0.0 -6 + -0.5x = -0.5 Add '6' to each side of the equation. -6 + 6 + -0.5x = -0.5 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5x = -0.5 + 6 -0.5x = -0.5 + 6 Combine like terms: -0.5 + 6 = 5.5 -0.5x = 5.5 Divide each side by '-0.5'. x = -11 Simplifying x = -11
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