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Simplifying 0.6(0.5x + -1) + -2(0.2 + -1.5x) = 1 + 4(1.25x + -0.5) Reorder the terms: 0.6(-1 + 0.5x) + -2(0.2 + -1.5x) = 1 + 4(1.25x + -0.5) (-1 * 0.6 + 0.5x * 0.6) + -2(0.2 + -1.5x) = 1 + 4(1.25x + -0.5) (-0.6 + 0.3x) + -2(0.2 + -1.5x) = 1 + 4(1.25x + -0.5) -0.6 + 0.3x + (0.2 * -2 + -1.5x * -2) = 1 + 4(1.25x + -0.5) -0.6 + 0.3x + (-0.4 + 3x) = 1 + 4(1.25x + -0.5) Reorder the terms: -0.6 + -0.4 + 0.3x + 3x = 1 + 4(1.25x + -0.5) Combine like terms: -0.6 + -0.4 = -1 -1 + 0.3x + 3x = 1 + 4(1.25x + -0.5) Combine like terms: 0.3x + 3x = 3.3x -1 + 3.3x = 1 + 4(1.25x + -0.5) Reorder the terms: -1 + 3.3x = 1 + 4(-0.5 + 1.25x) -1 + 3.3x = 1 + (-0.5 * 4 + 1.25x * 4) -1 + 3.3x = 1 + (-2 + 5x) Combine like terms: 1 + -2 = -1 -1 + 3.3x = -1 + 5x Add '1' to each side of the equation. -1 + 1 + 3.3x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + 3.3x = -1 + 1 + 5x 3.3x = -1 + 1 + 5x Combine like terms: -1 + 1 = 0 3.3x = 0 + 5x 3.3x = 5x Solving 3.3x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3.3x + -5x = 5x + -5x Combine like terms: 3.3x + -5x = -1.7x -1.7x = 5x + -5x Combine like terms: 5x + -5x = 0 -1.7x = 0 Divide each side by '-1.7'. x = 0 Simplifying x = 0
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