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Simplifying 5(0.2x + 3) + -2(1.6x + 7) = 0 Reorder the terms: 5(3 + 0.2x) + -2(1.6x + 7) = 0 (3 * 5 + 0.2x * 5) + -2(1.6x + 7) = 0 (15 + 1x) + -2(1.6x + 7) = 0 Reorder the terms: 15 + 1x + -2(7 + 1.6x) = 0 15 + 1x + (7 * -2 + 1.6x * -2) = 0 15 + 1x + (-14 + -3.2x) = 0 Reorder the terms: 15 + -14 + 1x + -3.2x = 0 Combine like terms: 15 + -14 = 1 1 + 1x + -3.2x = 0 Combine like terms: 1x + -3.2x = -2.2x 1 + -2.2x = 0 Solving 1 + -2.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2.2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2.2x = 0 + -1 -2.2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2.2x = -1 Divide each side by '-2.2'. x = 0.4545454545 Simplifying x = 0.4545454545
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