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Simplifying 3(3x + -7) + -5 = 3(x + -3) + 19 Reorder the terms: 3(-7 + 3x) + -5 = 3(x + -3) + 19 (-7 * 3 + 3x * 3) + -5 = 3(x + -3) + 19 (-21 + 9x) + -5 = 3(x + -3) + 19 Reorder the terms: -21 + -5 + 9x = 3(x + -3) + 19 Combine like terms: -21 + -5 = -26 -26 + 9x = 3(x + -3) + 19 Reorder the terms: -26 + 9x = 3(-3 + x) + 19 -26 + 9x = (-3 * 3 + x * 3) + 19 -26 + 9x = (-9 + 3x) + 19 Reorder the terms: -26 + 9x = -9 + 19 + 3x Combine like terms: -9 + 19 = 10 -26 + 9x = 10 + 3x Solving -26 + 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. -26 + 9x + -3x = 10 + 3x + -3x Combine like terms: 9x + -3x = 6x -26 + 6x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 6x = 10 + 0 -26 + 6x = 10 Add '26' to each side of the equation. -26 + 26 + 6x = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 10 + 26 6x = 10 + 26 Combine like terms: 10 + 26 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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