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Simplifying 3(3x + -5) + -4 = 3(x + -5) + 26 Reorder the terms: 3(-5 + 3x) + -4 = 3(x + -5) + 26 (-5 * 3 + 3x * 3) + -4 = 3(x + -5) + 26 (-15 + 9x) + -4 = 3(x + -5) + 26 Reorder the terms: -15 + -4 + 9x = 3(x + -5) + 26 Combine like terms: -15 + -4 = -19 -19 + 9x = 3(x + -5) + 26 Reorder the terms: -19 + 9x = 3(-5 + x) + 26 -19 + 9x = (-5 * 3 + x * 3) + 26 -19 + 9x = (-15 + 3x) + 26 Reorder the terms: -19 + 9x = -15 + 26 + 3x Combine like terms: -15 + 26 = 11 -19 + 9x = 11 + 3x Solving -19 + 9x = 11 + 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. -19 + 9x + -3x = 11 + 3x + -3x Combine like terms: 9x + -3x = 6x -19 + 6x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 6x = 11 + 0 -19 + 6x = 11 Add '19' to each side of the equation. -19 + 19 + 6x = 11 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 11 + 19 6x = 11 + 19 Combine like terms: 11 + 19 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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