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Simplifying 5(1.2x + 6) = 7.1x + 34.4 Reorder the terms: 5(6 + 1.2x) = 7.1x + 34.4 (6 * 5 + 1.2x * 5) = 7.1x + 34.4 (30 + 6x) = 7.1x + 34.4 Reorder the terms: 30 + 6x = 34.4 + 7.1x Solving 30 + 6x = 34.4 + 7.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.1x' to each side of the equation. 30 + 6x + -7.1x = 34.4 + 7.1x + -7.1x Combine like terms: 6x + -7.1x = -1.1x 30 + -1.1x = 34.4 + 7.1x + -7.1x Combine like terms: 7.1x + -7.1x = 0.0 30 + -1.1x = 34.4 + 0.0 30 + -1.1x = 34.4 Add '-30' to each side of the equation. 30 + -30 + -1.1x = 34.4 + -30 Combine like terms: 30 + -30 = 0 0 + -1.1x = 34.4 + -30 -1.1x = 34.4 + -30 Combine like terms: 34.4 + -30 = 4.4 -1.1x = 4.4 Divide each side by '-1.1'. x = -4 Simplifying x = -4
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