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Simplifying 14 + -1(x + 1) = 3(x + 9) + -10 Reorder the terms: 14 + -1(1 + x) = 3(x + 9) + -10 14 + (1 * -1 + x * -1) = 3(x + 9) + -10 14 + (-1 + -1x) = 3(x + 9) + -10 Combine like terms: 14 + -1 = 13 13 + -1x = 3(x + 9) + -10 Reorder the terms: 13 + -1x = 3(9 + x) + -10 13 + -1x = (9 * 3 + x * 3) + -10 13 + -1x = (27 + 3x) + -10 Reorder the terms: 13 + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 13 + -1x = 17 + 3x Solving 13 + -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. 13 + -1x + -3x = 17 + 3x + -3x Combine like terms: -1x + -3x = -4x 13 + -4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -4x = 17 + 0 13 + -4x = 17 Add '-13' to each side of the equation. 13 + -13 + -4x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 17 + -13 -4x = 17 + -13 Combine like terms: 17 + -13 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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