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Simplifying 0.5x + -0.9 = 0.9(4x + -1) + -1.24 Reorder the terms: -0.9 + 0.5x = 0.9(4x + -1) + -1.24 Reorder the terms: -0.9 + 0.5x = 0.9(-1 + 4x) + -1.24 -0.9 + 0.5x = (-1 * 0.9 + 4x * 0.9) + -1.24 -0.9 + 0.5x = (-0.9 + 3.6x) + -1.24 Reorder the terms: -0.9 + 0.5x = -0.9 + -1.24 + 3.6x Combine like terms: -0.9 + -1.24 = -2.14 -0.9 + 0.5x = -2.14 + 3.6x Solving -0.9 + 0.5x = -2.14 + 3.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6x' to each side of the equation. -0.9 + 0.5x + -3.6x = -2.14 + 3.6x + -3.6x Combine like terms: 0.5x + -3.6x = -3.1x -0.9 + -3.1x = -2.14 + 3.6x + -3.6x Combine like terms: 3.6x + -3.6x = 0.0 -0.9 + -3.1x = -2.14 + 0.0 -0.9 + -3.1x = -2.14 Add '0.9' to each side of the equation. -0.9 + 0.9 + -3.1x = -2.14 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -3.1x = -2.14 + 0.9 -3.1x = -2.14 + 0.9 Combine like terms: -2.14 + 0.9 = -1.24 -3.1x = -1.24 Divide each side by '-3.1'. x = 0.4 Simplifying x = 0.4
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