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Simplifying 3(x + 8) + 3x = 5(x + -2) + -4x + 9 Reorder the terms: 3(8 + x) + 3x = 5(x + -2) + -4x + 9 (8 * 3 + x * 3) + 3x = 5(x + -2) + -4x + 9 (24 + 3x) + 3x = 5(x + -2) + -4x + 9 Combine like terms: 3x + 3x = 6x 24 + 6x = 5(x + -2) + -4x + 9 Reorder the terms: 24 + 6x = 5(-2 + x) + -4x + 9 24 + 6x = (-2 * 5 + x * 5) + -4x + 9 24 + 6x = (-10 + 5x) + -4x + 9 Reorder the terms: 24 + 6x = -10 + 9 + 5x + -4x Combine like terms: -10 + 9 = -1 24 + 6x = -1 + 5x + -4x Combine like terms: 5x + -4x = 1x 24 + 6x = -1 + 1x Solving 24 + 6x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 6x + -1x = -1 + 1x + -1x Combine like terms: 6x + -1x = 5x 24 + 5x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + 5x = -1 + 0 24 + 5x = -1 Add '-24' to each side of the equation. 24 + -24 + 5x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = -1 + -24 5x = -1 + -24 Combine like terms: -1 + -24 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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