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Simplifying 3(3x + -3) + -4 = 3(x + -2) + 29 Reorder the terms: 3(-3 + 3x) + -4 = 3(x + -2) + 29 (-3 * 3 + 3x * 3) + -4 = 3(x + -2) + 29 (-9 + 9x) + -4 = 3(x + -2) + 29 Reorder the terms: -9 + -4 + 9x = 3(x + -2) + 29 Combine like terms: -9 + -4 = -13 -13 + 9x = 3(x + -2) + 29 Reorder the terms: -13 + 9x = 3(-2 + x) + 29 -13 + 9x = (-2 * 3 + x * 3) + 29 -13 + 9x = (-6 + 3x) + 29 Reorder the terms: -13 + 9x = -6 + 29 + 3x Combine like terms: -6 + 29 = 23 -13 + 9x = 23 + 3x Solving -13 + 9x = 23 + 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. -13 + 9x + -3x = 23 + 3x + -3x Combine like terms: 9x + -3x = 6x -13 + 6x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 6x = 23 + 0 -13 + 6x = 23 Add '13' to each side of the equation. -13 + 13 + 6x = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 23 + 13 6x = 23 + 13 Combine like terms: 23 + 13 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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