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Simplifying 7 + -2(-5x + -9) + 2x = 4(2x + -2) + 3(x + 12) Reorder the terms: 7 + -2(-9 + -5x) + 2x = 4(2x + -2) + 3(x + 12) 7 + (-9 * -2 + -5x * -2) + 2x = 4(2x + -2) + 3(x + 12) 7 + (18 + 10x) + 2x = 4(2x + -2) + 3(x + 12) Combine like terms: 7 + 18 = 25 25 + 10x + 2x = 4(2x + -2) + 3(x + 12) Combine like terms: 10x + 2x = 12x 25 + 12x = 4(2x + -2) + 3(x + 12) Reorder the terms: 25 + 12x = 4(-2 + 2x) + 3(x + 12) 25 + 12x = (-2 * 4 + 2x * 4) + 3(x + 12) 25 + 12x = (-8 + 8x) + 3(x + 12) Reorder the terms: 25 + 12x = -8 + 8x + 3(12 + x) 25 + 12x = -8 + 8x + (12 * 3 + x * 3) 25 + 12x = -8 + 8x + (36 + 3x) Reorder the terms: 25 + 12x = -8 + 36 + 8x + 3x Combine like terms: -8 + 36 = 28 25 + 12x = 28 + 8x + 3x Combine like terms: 8x + 3x = 11x 25 + 12x = 28 + 11x Solving 25 + 12x = 28 + 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 + 12x + -11x = 28 + 11x + -11x Combine like terms: 12x + -11x = 1x 25 + 1x = 28 + 11x + -11x Combine like terms: 11x + -11x = 0 25 + 1x = 28 + 0 25 + 1x = 28 Add '-25' to each side of the equation. 25 + -25 + 1x = 28 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 28 + -25 1x = 28 + -25 Combine like terms: 28 + -25 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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