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Simplifying 3(3x + -8) + -4 = 3(x + -3) + 29 Reorder the terms: 3(-8 + 3x) + -4 = 3(x + -3) + 29 (-8 * 3 + 3x * 3) + -4 = 3(x + -3) + 29 (-24 + 9x) + -4 = 3(x + -3) + 29 Reorder the terms: -24 + -4 + 9x = 3(x + -3) + 29 Combine like terms: -24 + -4 = -28 -28 + 9x = 3(x + -3) + 29 Reorder the terms: -28 + 9x = 3(-3 + x) + 29 -28 + 9x = (-3 * 3 + x * 3) + 29 -28 + 9x = (-9 + 3x) + 29 Reorder the terms: -28 + 9x = -9 + 29 + 3x Combine like terms: -9 + 29 = 20 -28 + 9x = 20 + 3x Solving -28 + 9x = 20 + 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. -28 + 9x + -3x = 20 + 3x + -3x Combine like terms: 9x + -3x = 6x -28 + 6x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 6x = 20 + 0 -28 + 6x = 20 Add '28' to each side of the equation. -28 + 28 + 6x = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 20 + 28 6x = 20 + 28 Combine like terms: 20 + 28 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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