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Simplifying 5(0.2x + 9) = -3(1.4x + 4) Reorder the terms: 5(9 + 0.2x) = -3(1.4x + 4) (9 * 5 + 0.2x * 5) = -3(1.4x + 4) (45 + 1x) = -3(1.4x + 4) Reorder the terms: 45 + 1x = -3(4 + 1.4x) 45 + 1x = (4 * -3 + 1.4x * -3) 45 + 1x = (-12 + -4.2x) Solving 45 + 1x = -12 + -4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2x' to each side of the equation. 45 + 1x + 4.2x = -12 + -4.2x + 4.2x Combine like terms: 1x + 4.2x = 5.2x 45 + 5.2x = -12 + -4.2x + 4.2x Combine like terms: -4.2x + 4.2x = 0.0 45 + 5.2x = -12 + 0.0 45 + 5.2x = -12 Add '-45' to each side of the equation. 45 + -45 + 5.2x = -12 + -45 Combine like terms: 45 + -45 = 0 0 + 5.2x = -12 + -45 5.2x = -12 + -45 Combine like terms: -12 + -45 = -57 5.2x = -57 Divide each side by '5.2'. x = -10.96153846 Simplifying x = -10.96153846
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