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Simplifying 14.1 + -7.1(x + 0.9) = 12 + -5(x + 3) Reorder the terms: 14.1 + -7.1(0.9 + x) = 12 + -5(x + 3) 14.1 + (0.9 * -7.1 + x * -7.1) = 12 + -5(x + 3) 14.1 + (-6.39 + -7.1x) = 12 + -5(x + 3) Combine like terms: 14.1 + -6.39 = 7.71 7.71 + -7.1x = 12 + -5(x + 3) Reorder the terms: 7.71 + -7.1x = 12 + -5(3 + x) 7.71 + -7.1x = 12 + (3 * -5 + x * -5) 7.71 + -7.1x = 12 + (-15 + -5x) Combine like terms: 12 + -15 = -3 7.71 + -7.1x = -3 + -5x Solving 7.71 + -7.1x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7.71 + -7.1x + 5x = -3 + -5x + 5x Combine like terms: -7.1x + 5x = -2.1x 7.71 + -2.1x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 7.71 + -2.1x = -3 + 0 7.71 + -2.1x = -3 Add '-7.71' to each side of the equation. 7.71 + -7.71 + -2.1x = -3 + -7.71 Combine like terms: 7.71 + -7.71 = 0.00 0.00 + -2.1x = -3 + -7.71 -2.1x = -3 + -7.71 Combine like terms: -3 + -7.71 = -10.71 -2.1x = -10.71 Divide each side by '-2.1'. x = 5.1 Simplifying x = 5.1
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