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Simplifying 0.2(5x + -1) + 2.25 = 2(3.5 + x) Reorder the terms: 0.2(-1 + 5x) + 2.25 = 2(3.5 + x) (-1 * 0.2 + 5x * 0.2) + 2.25 = 2(3.5 + x) (-0.2 + 1x) + 2.25 = 2(3.5 + x) Reorder the terms: -0.2 + 2.25 + 1x = 2(3.5 + x) Combine like terms: -0.2 + 2.25 = 2.05 2.05 + 1x = 2(3.5 + x) 2.05 + 1x = (3.5 * 2 + x * 2) 2.05 + 1x = (7 + 2x) Solving 2.05 + 1x = 7 + 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. 2.05 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 2.05 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 2.05 + -1x = 7 + 0 2.05 + -1x = 7 Add '-2.05' to each side of the equation. 2.05 + -2.05 + -1x = 7 + -2.05 Combine like terms: 2.05 + -2.05 = 0.00 0.00 + -1x = 7 + -2.05 -1x = 7 + -2.05 Combine like terms: 7 + -2.05 = 4.95 -1x = 4.95 Divide each side by '-1'. x = -4.95 Simplifying x = -4.95
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