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Simplifying 7 + -2(-5 + -9) + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: -5 + -9 = -14 7 + -2(-14) + 2x = 4(2x + -1) + 3(x + 12) Multiply -2 * -14 7 + 28 + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: 7 + 28 = 35 35 + 2x = 4(2x + -1) + 3(x + 12) Reorder the terms: 35 + 2x = 4(-1 + 2x) + 3(x + 12) 35 + 2x = (-1 * 4 + 2x * 4) + 3(x + 12) 35 + 2x = (-4 + 8x) + 3(x + 12) Reorder the terms: 35 + 2x = -4 + 8x + 3(12 + x) 35 + 2x = -4 + 8x + (12 * 3 + x * 3) 35 + 2x = -4 + 8x + (36 + 3x) Reorder the terms: 35 + 2x = -4 + 36 + 8x + 3x Combine like terms: -4 + 36 = 32 35 + 2x = 32 + 8x + 3x Combine like terms: 8x + 3x = 11x 35 + 2x = 32 + 11x Solving 35 + 2x = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 35 + 2x + -11x = 32 + 11x + -11x Combine like terms: 2x + -11x = -9x 35 + -9x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + -9x = 32 + 0 35 + -9x = 32 Add '-35' to each side of the equation. 35 + -35 + -9x = 32 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = 32 + -35 -9x = 32 + -35 Combine like terms: 32 + -35 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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