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Simplifying 7 + 0.2(3 + -1x) = 2.2x + -1(1.8x + -4.3) 7 + (3 * 0.2 + -1x * 0.2) = 2.2x + -1(1.8x + -4.3) 7 + (0.6 + -0.2x) = 2.2x + -1(1.8x + -4.3) Combine like terms: 7 + 0.6 = 7.6 7.6 + -0.2x = 2.2x + -1(1.8x + -4.3) Reorder the terms: 7.6 + -0.2x = 2.2x + -1(-4.3 + 1.8x) 7.6 + -0.2x = 2.2x + (-4.3 * -1 + 1.8x * -1) 7.6 + -0.2x = 2.2x + (4.3 + -1.8x) Reorder the terms: 7.6 + -0.2x = 4.3 + 2.2x + -1.8x Combine like terms: 2.2x + -1.8x = 0.4x 7.6 + -0.2x = 4.3 + 0.4x Solving 7.6 + -0.2x = 4.3 + 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. 7.6 + -0.2x + -0.4x = 4.3 + 0.4x + -0.4x Combine like terms: -0.2x + -0.4x = -0.6x 7.6 + -0.6x = 4.3 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 7.6 + -0.6x = 4.3 + 0.0 7.6 + -0.6x = 4.3 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -0.6x = 4.3 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -0.6x = 4.3 + -7.6 -0.6x = 4.3 + -7.6 Combine like terms: 4.3 + -7.6 = -3.3 -0.6x = -3.3 Divide each side by '-0.6'. x = 5.5 Simplifying x = 5.5
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