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Simplifying 2x + -3(x + 4) + -10 = 9 + -3(2 + 2x) Reorder the terms: 2x + -3(4 + x) + -10 = 9 + -3(2 + 2x) 2x + (4 * -3 + x * -3) + -10 = 9 + -3(2 + 2x) 2x + (-12 + -3x) + -10 = 9 + -3(2 + 2x) Reorder the terms: -12 + -10 + 2x + -3x = 9 + -3(2 + 2x) Combine like terms: -12 + -10 = -22 -22 + 2x + -3x = 9 + -3(2 + 2x) Combine like terms: 2x + -3x = -1x -22 + -1x = 9 + -3(2 + 2x) -22 + -1x = 9 + (2 * -3 + 2x * -3) -22 + -1x = 9 + (-6 + -6x) Combine like terms: 9 + -6 = 3 -22 + -1x = 3 + -6x Solving -22 + -1x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -22 + -1x + 6x = 3 + -6x + 6x Combine like terms: -1x + 6x = 5x -22 + 5x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 5x = 3 + 0 -22 + 5x = 3 Add '22' to each side of the equation. -22 + 22 + 5x = 3 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 3 + 22 5x = 3 + 22 Combine like terms: 3 + 22 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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