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Simplifying 3(3x + -3) + -5 = 3(x + -4) + 34 Reorder the terms: 3(-3 + 3x) + -5 = 3(x + -4) + 34 (-3 * 3 + 3x * 3) + -5 = 3(x + -4) + 34 (-9 + 9x) + -5 = 3(x + -4) + 34 Reorder the terms: -9 + -5 + 9x = 3(x + -4) + 34 Combine like terms: -9 + -5 = -14 -14 + 9x = 3(x + -4) + 34 Reorder the terms: -14 + 9x = 3(-4 + x) + 34 -14 + 9x = (-4 * 3 + x * 3) + 34 -14 + 9x = (-12 + 3x) + 34 Reorder the terms: -14 + 9x = -12 + 34 + 3x Combine like terms: -12 + 34 = 22 -14 + 9x = 22 + 3x Solving -14 + 9x = 22 + 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. -14 + 9x + -3x = 22 + 3x + -3x Combine like terms: 9x + -3x = 6x -14 + 6x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 6x = 22 + 0 -14 + 6x = 22 Add '14' to each side of the equation. -14 + 14 + 6x = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 22 + 14 6x = 22 + 14 Combine like terms: 22 + 14 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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