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Simplifying 14 + -1(x + -4) = 3(x + 9) + -10 Reorder the terms: 14 + -1(-4 + x) = 3(x + 9) + -10 14 + (-4 * -1 + x * -1) = 3(x + 9) + -10 14 + (4 + -1x) = 3(x + 9) + -10 Combine like terms: 14 + 4 = 18 18 + -1x = 3(x + 9) + -10 Reorder the terms: 18 + -1x = 3(9 + x) + -10 18 + -1x = (9 * 3 + x * 3) + -10 18 + -1x = (27 + 3x) + -10 Reorder the terms: 18 + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 18 + -1x = 17 + 3x Solving 18 + -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. 18 + -1x + -3x = 17 + 3x + -3x Combine like terms: -1x + -3x = -4x 18 + -4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -4x = 17 + 0 18 + -4x = 17 Add '-18' to each side of the equation. 18 + -18 + -4x = 17 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = 17 + -18 -4x = 17 + -18 Combine like terms: 17 + -18 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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