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Simplifying 2 + 0.1(27 + -1x) = 1.5x + -1(0.5x + -2.5) 2 + (27 * 0.1 + -1x * 0.1) = 1.5x + -1(0.5x + -2.5) 2 + (2.7 + -0.1x) = 1.5x + -1(0.5x + -2.5) Combine like terms: 2 + 2.7 = 4.7 4.7 + -0.1x = 1.5x + -1(0.5x + -2.5) Reorder the terms: 4.7 + -0.1x = 1.5x + -1(-2.5 + 0.5x) 4.7 + -0.1x = 1.5x + (-2.5 * -1 + 0.5x * -1) 4.7 + -0.1x = 1.5x + (2.5 + -0.5x) Reorder the terms: 4.7 + -0.1x = 2.5 + 1.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 4.7 + -0.1x = 2.5 + 1x Solving 4.7 + -0.1x = 2.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.7 + -0.1x + -1x = 2.5 + 1x + -1x Combine like terms: -0.1x + -1x = -1.1x 4.7 + -1.1x = 2.5 + 1x + -1x Combine like terms: 1x + -1x = 0 4.7 + -1.1x = 2.5 + 0 4.7 + -1.1x = 2.5 Add '-4.7' to each side of the equation. 4.7 + -4.7 + -1.1x = 2.5 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + -1.1x = 2.5 + -4.7 -1.1x = 2.5 + -4.7 Combine like terms: 2.5 + -4.7 = -2.2 -1.1x = -2.2 Divide each side by '-1.1'. x = 2 Simplifying x = 2
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