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Simplifying -1.5(4x + 1) = 4.5 + -2.5 + -2.5(x + 1) Reorder the terms: -1.5(1 + 4x) = 4.5 + -2.5 + -2.5(x + 1) (1 * -1.5 + 4x * -1.5) = 4.5 + -2.5 + -2.5(x + 1) (-1.5 + -6x) = 4.5 + -2.5 + -2.5(x + 1) Reorder the terms: -1.5 + -6x = 4.5 + -2.5 + -2.5(1 + x) -1.5 + -6x = 4.5 + -2.5 + (1 * -2.5 + x * -2.5) -1.5 + -6x = 4.5 + -2.5 + (-2.5 + -2.5x) Combine like terms: 4.5 + -2.5 = 2 -1.5 + -6x = 2 + -2.5 + -2.5x Combine like terms: 2 + -2.5 = -0.5 -1.5 + -6x = -0.5 + -2.5x Solving -1.5 + -6x = -0.5 + -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. -1.5 + -6x + 2.5x = -0.5 + -2.5x + 2.5x Combine like terms: -6x + 2.5x = -3.5x -1.5 + -3.5x = -0.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -1.5 + -3.5x = -0.5 + 0.0 -1.5 + -3.5x = -0.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -3.5x = -0.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -3.5x = -0.5 + 1.5 -3.5x = -0.5 + 1.5 Combine like terms: -0.5 + 1.5 = 1 -3.5x = 1 Divide each side by '-3.5'. x = -0.2857142857 Simplifying x = -0.2857142857
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