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Simplifying 3(x + 2) + 2x + -4 = 8(x + -2) + 8 Reorder the terms: 3(2 + x) + 2x + -4 = 8(x + -2) + 8 (2 * 3 + x * 3) + 2x + -4 = 8(x + -2) + 8 (6 + 3x) + 2x + -4 = 8(x + -2) + 8 Reorder the terms: 6 + -4 + 3x + 2x = 8(x + -2) + 8 Combine like terms: 6 + -4 = 2 2 + 3x + 2x = 8(x + -2) + 8 Combine like terms: 3x + 2x = 5x 2 + 5x = 8(x + -2) + 8 Reorder the terms: 2 + 5x = 8(-2 + x) + 8 2 + 5x = (-2 * 8 + x * 8) + 8 2 + 5x = (-16 + 8x) + 8 Reorder the terms: 2 + 5x = -16 + 8 + 8x Combine like terms: -16 + 8 = -8 2 + 5x = -8 + 8x Solving 2 + 5x = -8 + 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. 2 + 5x + -8x = -8 + 8x + -8x Combine like terms: 5x + -8x = -3x 2 + -3x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -3x = -8 + 0 2 + -3x = -8 Add '-2' to each side of the equation. 2 + -2 + -3x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -8 + -2 -3x = -8 + -2 Combine like terms: -8 + -2 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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