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Simplifying 14 + -4(x + 3) = 17(x + 2) + -5 Reorder the terms: 14 + -4(3 + x) = 17(x + 2) + -5 14 + (3 * -4 + x * -4) = 17(x + 2) + -5 14 + (-12 + -4x) = 17(x + 2) + -5 Combine like terms: 14 + -12 = 2 2 + -4x = 17(x + 2) + -5 Reorder the terms: 2 + -4x = 17(2 + x) + -5 2 + -4x = (2 * 17 + x * 17) + -5 2 + -4x = (34 + 17x) + -5 Reorder the terms: 2 + -4x = 34 + -5 + 17x Combine like terms: 34 + -5 = 29 2 + -4x = 29 + 17x Solving 2 + -4x = 29 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 2 + -4x + -17x = 29 + 17x + -17x Combine like terms: -4x + -17x = -21x 2 + -21x = 29 + 17x + -17x Combine like terms: 17x + -17x = 0 2 + -21x = 29 + 0 2 + -21x = 29 Add '-2' to each side of the equation. 2 + -2 + -21x = 29 + -2 Combine like terms: 2 + -2 = 0 0 + -21x = 29 + -2 -21x = 29 + -2 Combine like terms: 29 + -2 = 27 -21x = 27 Divide each side by '-21'. x = -1.285714286 Simplifying x = -1.285714286
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