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Simplifying 3(3x + -2) + -2 = 3(x + -4) + 22 Reorder the terms: 3(-2 + 3x) + -2 = 3(x + -4) + 22 (-2 * 3 + 3x * 3) + -2 = 3(x + -4) + 22 (-6 + 9x) + -2 = 3(x + -4) + 22 Reorder the terms: -6 + -2 + 9x = 3(x + -4) + 22 Combine like terms: -6 + -2 = -8 -8 + 9x = 3(x + -4) + 22 Reorder the terms: -8 + 9x = 3(-4 + x) + 22 -8 + 9x = (-4 * 3 + x * 3) + 22 -8 + 9x = (-12 + 3x) + 22 Reorder the terms: -8 + 9x = -12 + 22 + 3x Combine like terms: -12 + 22 = 10 -8 + 9x = 10 + 3x Solving -8 + 9x = 10 + 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. -8 + 9x + -3x = 10 + 3x + -3x Combine like terms: 9x + -3x = 6x -8 + 6x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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