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Simplifying 3(x + 4) + -8 = 2x + 6(x + -2) + -9 Reorder the terms: 3(4 + x) + -8 = 2x + 6(x + -2) + -9 (4 * 3 + x * 3) + -8 = 2x + 6(x + -2) + -9 (12 + 3x) + -8 = 2x + 6(x + -2) + -9 Reorder the terms: 12 + -8 + 3x = 2x + 6(x + -2) + -9 Combine like terms: 12 + -8 = 4 4 + 3x = 2x + 6(x + -2) + -9 Reorder the terms: 4 + 3x = 2x + 6(-2 + x) + -9 4 + 3x = 2x + (-2 * 6 + x * 6) + -9 4 + 3x = 2x + (-12 + 6x) + -9 Reorder the terms: 4 + 3x = -12 + -9 + 2x + 6x Combine like terms: -12 + -9 = -21 4 + 3x = -21 + 2x + 6x Combine like terms: 2x + 6x = 8x 4 + 3x = -21 + 8x Solving 4 + 3x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 3x + -8x = -21 + 8x + -8x Combine like terms: 3x + -8x = -5x 4 + -5x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -5x = -21 + 0 4 + -5x = -21 Add '-4' to each side of the equation. 4 + -4 + -5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -21 + -4 -5x = -21 + -4 Combine like terms: -21 + -4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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