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Simplifying 1.2(x + -2) + 0.5(1 + -1x) = 23 Reorder the terms: 1.2(-2 + x) + 0.5(1 + -1x) = 23 (-2 * 1.2 + x * 1.2) + 0.5(1 + -1x) = 23 (-2.4 + 1.2x) + 0.5(1 + -1x) = 23 -2.4 + 1.2x + (1 * 0.5 + -1x * 0.5) = 23 -2.4 + 1.2x + (0.5 + -0.5x) = 23 Reorder the terms: -2.4 + 0.5 + 1.2x + -0.5x = 23 Combine like terms: -2.4 + 0.5 = -1.9 -1.9 + 1.2x + -0.5x = 23 Combine like terms: 1.2x + -0.5x = 0.7x -1.9 + 0.7x = 23 Solving -1.9 + 0.7x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9' to each side of the equation. -1.9 + 1.9 + 0.7x = 23 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 0.7x = 23 + 1.9 0.7x = 23 + 1.9 Combine like terms: 23 + 1.9 = 24.9 0.7x = 24.9 Divide each side by '0.7'. x = 35.57142857 Simplifying x = 35.57142857
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