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Simplifying 2 + 0.1(52 + -1x) = 1.8x + -1(0.4 + -2.7) 2 + (52 * 0.1 + -1x * 0.1) = 1.8x + -1(0.4 + -2.7) 2 + (5.2 + -0.1x) = 1.8x + -1(0.4 + -2.7) Combine like terms: 2 + 5.2 = 7.2 7.2 + -0.1x = 1.8x + -1(0.4 + -2.7) Combine like terms: 0.4 + -2.7 = -2.3 7.2 + -0.1x = 1.8x + -1(-2.3) Multiply -1 * -2.3 7.2 + -0.1x = 1.8x + 2.3 Reorder the terms: 7.2 + -0.1x = 2.3 + 1.8x Solving 7.2 + -0.1x = 2.3 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 7.2 + -0.1x + -1.8x = 2.3 + 1.8x + -1.8x Combine like terms: -0.1x + -1.8x = -1.9x 7.2 + -1.9x = 2.3 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 7.2 + -1.9x = 2.3 + 0.0 7.2 + -1.9x = 2.3 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -1.9x = 2.3 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -1.9x = 2.3 + -7.2 -1.9x = 2.3 + -7.2 Combine like terms: 2.3 + -7.2 = -4.9 -1.9x = -4.9 Divide each side by '-1.9'. x = 2.578947368 Simplifying x = 2.578947368
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