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Simplifying 2(0.5x + -1) + -2.2 = 2 + -0.4(x + -1) Reorder the terms: 2(-1 + 0.5x) + -2.2 = 2 + -0.4(x + -1) (-1 * 2 + 0.5x * 2) + -2.2 = 2 + -0.4(x + -1) (-2 + 1x) + -2.2 = 2 + -0.4(x + -1) Reorder the terms: -2 + -2.2 + 1x = 2 + -0.4(x + -1) Combine like terms: -2 + -2.2 = -4.2 -4.2 + 1x = 2 + -0.4(x + -1) Reorder the terms: -4.2 + 1x = 2 + -0.4(-1 + x) -4.2 + 1x = 2 + (-1 * -0.4 + x * -0.4) -4.2 + 1x = 2 + (0.4 + -0.4x) Combine like terms: 2 + 0.4 = 2.4 -4.2 + 1x = 2.4 + -0.4x Solving -4.2 + 1x = 2.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -4.2 + 1x + 0.4x = 2.4 + -0.4x + 0.4x Combine like terms: 1x + 0.4x = 1.4x -4.2 + 1.4x = 2.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -4.2 + 1.4x = 2.4 + 0.0 -4.2 + 1.4x = 2.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1.4x = 2.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1.4x = 2.4 + 4.2 1.4x = 2.4 + 4.2 Combine like terms: 2.4 + 4.2 = 6.6 1.4x = 6.6 Divide each side by '1.4'. x = 4.714285714 Simplifying x = 4.714285714
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