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Simplifying 14 + -1(x + 10) = 3(x + -9) + -10 Reorder the terms: 14 + -1(10 + x) = 3(x + -9) + -10 14 + (10 * -1 + x * -1) = 3(x + -9) + -10 14 + (-10 + -1x) = 3(x + -9) + -10 Combine like terms: 14 + -10 = 4 4 + -1x = 3(x + -9) + -10 Reorder the terms: 4 + -1x = 3(-9 + x) + -10 4 + -1x = (-9 * 3 + x * 3) + -10 4 + -1x = (-27 + 3x) + -10 Reorder the terms: 4 + -1x = -27 + -10 + 3x Combine like terms: -27 + -10 = -37 4 + -1x = -37 + 3x Solving 4 + -1x = -37 + 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. 4 + -1x + -3x = -37 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = -37 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = -37 + 0 4 + -4x = -37 Add '-4' to each side of the equation. 4 + -4 + -4x = -37 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -37 + -4 -4x = -37 + -4 Combine like terms: -37 + -4 = -41 -4x = -41 Divide each side by '-4'. x = 10.25 Simplifying x = 10.25
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