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Simplifying 2x + 10 + -1x + -22 = 3(x + 4) Reorder the terms: 10 + -22 + 2x + -1x = 3(x + 4) Combine like terms: 10 + -22 = -12 -12 + 2x + -1x = 3(x + 4) Combine like terms: 2x + -1x = 1x -12 + 1x = 3(x + 4) Reorder the terms: -12 + 1x = 3(4 + x) -12 + 1x = (4 * 3 + x * 3) -12 + 1x = (12 + 3x) Solving -12 + 1x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 1x + -3x = 12 + 3x + -3x Combine like terms: 1x + -3x = -2x -12 + -2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -2x = 12 + 0 -12 + -2x = 12 Add '12' to each side of the equation. -12 + 12 + -2x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 12 + 12 -2x = 12 + 12 Combine like terms: 12 + 12 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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