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Simplifying 8 + -2(x + 3) = 19(x + 2) + -9 Reorder the terms: 8 + -2(3 + x) = 19(x + 2) + -9 8 + (3 * -2 + x * -2) = 19(x + 2) + -9 8 + (-6 + -2x) = 19(x + 2) + -9 Combine like terms: 8 + -6 = 2 2 + -2x = 19(x + 2) + -9 Reorder the terms: 2 + -2x = 19(2 + x) + -9 2 + -2x = (2 * 19 + x * 19) + -9 2 + -2x = (38 + 19x) + -9 Reorder the terms: 2 + -2x = 38 + -9 + 19x Combine like terms: 38 + -9 = 29 2 + -2x = 29 + 19x Solving 2 + -2x = 29 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 2 + -2x + -19x = 29 + 19x + -19x Combine like terms: -2x + -19x = -21x 2 + -21x = 29 + 19x + -19x Combine like terms: 19x + -19x = 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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