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Simplifying 7 + -2(5x + -9) + 2x = 4(2x + -1) + 3(x + 12) Reorder the terms: 7 + -2(-9 + 5x) + 2x = 4(2x + -1) + 3(x + 12) 7 + (-9 * -2 + 5x * -2) + 2x = 4(2x + -1) + 3(x + 12) 7 + (18 + -10x) + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: 7 + 18 = 25 25 + -10x + 2x = 4(2x + -1) + 3(x + 12) Combine like terms: -10x + 2x = -8x 25 + -8x = 4(2x + -1) + 3(x + 12) Reorder the terms: 25 + -8x = 4(-1 + 2x) + 3(x + 12) 25 + -8x = (-1 * 4 + 2x * 4) + 3(x + 12) 25 + -8x = (-4 + 8x) + 3(x + 12) Reorder the terms: 25 + -8x = -4 + 8x + 3(12 + x) 25 + -8x = -4 + 8x + (12 * 3 + x * 3) 25 + -8x = -4 + 8x + (36 + 3x) Reorder the terms: 25 + -8x = -4 + 36 + 8x + 3x Combine like terms: -4 + 36 = 32 25 + -8x = 32 + 8x + 3x Combine like terms: 8x + 3x = 11x 25 + -8x = 32 + 11x Solving 25 + -8x = 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. 25 + -8x + -11x = 32 + 11x + -11x Combine like terms: -8x + -11x = -19x 25 + -19x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 25 + -19x = 32 + 0 25 + -19x = 32 Add '-25' to each side of the equation. 25 + -25 + -19x = 32 + -25 Combine like terms: 25 + -25 = 0 0 + -19x = 32 + -25 -19x = 32 + -25 Combine like terms: 32 + -25 = 7 -19x = 7 Divide each side by '-19'. x = -0.3684210526 Simplifying x = -0.3684210526
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