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Simplifying 14 + -1(x + 4.7) = 3(x + 9) + -10 Reorder the terms: 14 + -1(4.7 + x) = 3(x + 9) + -10 14 + (4.7 * -1 + x * -1) = 3(x + 9) + -10 14 + (-4.7 + -1x) = 3(x + 9) + -10 Combine like terms: 14 + -4.7 = 9.3 9.3 + -1x = 3(x + 9) + -10 Reorder the terms: 9.3 + -1x = 3(9 + x) + -10 9.3 + -1x = (9 * 3 + x * 3) + -10 9.3 + -1x = (27 + 3x) + -10 Reorder the terms: 9.3 + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 9.3 + -1x = 17 + 3x Solving 9.3 + -1x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9.3 + -1x + -3x = 17 + 3x + -3x Combine like terms: -1x + -3x = -4x 9.3 + -4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 9.3 + -4x = 17 + 0 9.3 + -4x = 17 Add '-9.3' to each side of the equation. 9.3 + -9.3 + -4x = 17 + -9.3 Combine like terms: 9.3 + -9.3 = 0.0 0.0 + -4x = 17 + -9.3 -4x = 17 + -9.3 Combine like terms: 17 + -9.3 = 7.7 -4x = 7.7 Divide each side by '-4'. x = -1.925 Simplifying x = -1.925
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