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Simplifying 3(3x + -3) + -4 = 3(x + -3) + 38 Reorder the terms: 3(-3 + 3x) + -4 = 3(x + -3) + 38 (-3 * 3 + 3x * 3) + -4 = 3(x + -3) + 38 (-9 + 9x) + -4 = 3(x + -3) + 38 Reorder the terms: -9 + -4 + 9x = 3(x + -3) + 38 Combine like terms: -9 + -4 = -13 -13 + 9x = 3(x + -3) + 38 Reorder the terms: -13 + 9x = 3(-3 + x) + 38 -13 + 9x = (-3 * 3 + x * 3) + 38 -13 + 9x = (-9 + 3x) + 38 Reorder the terms: -13 + 9x = -9 + 38 + 3x Combine like terms: -9 + 38 = 29 -13 + 9x = 29 + 3x Solving -13 + 9x = 29 + 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 = 29 + 3x + -3x Combine like terms: 9x + -3x = 6x -13 + 6x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 6x = 29 + 0 -13 + 6x = 29 Add '13' to each side of the equation. -13 + 13 + 6x = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 29 + 13 6x = 29 + 13 Combine like terms: 29 + 13 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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