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Simplifying 18 + -4(x + 2) = 8(x + 5) + -16 Reorder the terms: 18 + -4(2 + x) = 8(x + 5) + -16 18 + (2 * -4 + x * -4) = 8(x + 5) + -16 18 + (-8 + -4x) = 8(x + 5) + -16 Combine like terms: 18 + -8 = 10 10 + -4x = 8(x + 5) + -16 Reorder the terms: 10 + -4x = 8(5 + x) + -16 10 + -4x = (5 * 8 + x * 8) + -16 10 + -4x = (40 + 8x) + -16 Reorder the terms: 10 + -4x = 40 + -16 + 8x Combine like terms: 40 + -16 = 24 10 + -4x = 24 + 8x Solving 10 + -4x = 24 + 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. 10 + -4x + -8x = 24 + 8x + -8x Combine like terms: -4x + -8x = -12x 10 + -12x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -12x = 24 + 0 10 + -12x = 24 Add '-10' to each side of the equation. 10 + -10 + -12x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 24 + -10 -12x = 24 + -10 Combine like terms: 24 + -10 = 14 -12x = 14 Divide each side by '-12'. x = -1.166666667 Simplifying x = -1.166666667
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