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Simplifying 0.25(2x + -1.6) * 2 = (x + -0.9) * 2 Reorder the terms: 0.25(-1.6 + 2x) * 2 = (x + -0.9) * 2 Reorder the terms for easier multiplication: 0.25 * 2(-1.6 + 2x) = (x + -0.9) * 2 Multiply 0.25 * 2 0.5(-1.6 + 2x) = (x + -0.9) * 2 (-1.6 * 0.5 + 2x * 0.5) = (x + -0.9) * 2 (-0.8 + 1x) = (x + -0.9) * 2 Reorder the terms: -0.8 + 1x = (-0.9 + x) * 2 Reorder the terms for easier multiplication: -0.8 + 1x = 2(-0.9 + x) -0.8 + 1x = (-0.9 * 2 + x * 2) -0.8 + 1x = (-1.8 + 2x) Solving -0.8 + 1x = -1.8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.8 + 1x + -2x = -1.8 + 2x + -2x Combine like terms: 1x + -2x = -1x -0.8 + -1x = -1.8 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.8 + -1x = -1.8 + 0 -0.8 + -1x = -1.8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -1x = -1.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -1x = -1.8 + 0.8 -1x = -1.8 + 0.8 Combine like terms: -1.8 + 0.8 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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