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Simplifying 5(x + 4) + -8 = 8(x + -2) + 8 Reorder the terms: 5(4 + x) + -8 = 8(x + -2) + 8 (4 * 5 + x * 5) + -8 = 8(x + -2) + 8 (20 + 5x) + -8 = 8(x + -2) + 8 Reorder the terms: 20 + -8 + 5x = 8(x + -2) + 8 Combine like terms: 20 + -8 = 12 12 + 5x = 8(x + -2) + 8 Reorder the terms: 12 + 5x = 8(-2 + x) + 8 12 + 5x = (-2 * 8 + x * 8) + 8 12 + 5x = (-16 + 8x) + 8 Reorder the terms: 12 + 5x = -16 + 8 + 8x Combine like terms: -16 + 8 = -8 12 + 5x = -8 + 8x Solving 12 + 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. 12 + 5x + -8x = -8 + 8x + -8x Combine like terms: 5x + -8x = -3x 12 + -3x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -3x = -8 + 0 12 + -3x = -8 Add '-12' to each side of the equation. 12 + -12 + -3x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -8 + -12 -3x = -8 + -12 Combine like terms: -8 + -12 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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