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Simplifying 5(x + 6) + -4(x + 3) = 8 Reorder the terms: 5(6 + x) + -4(x + 3) = 8 (6 * 5 + x * 5) + -4(x + 3) = 8 (30 + 5x) + -4(x + 3) = 8 Reorder the terms: 30 + 5x + -4(3 + x) = 8 30 + 5x + (3 * -4 + x * -4) = 8 30 + 5x + (-12 + -4x) = 8 Reorder the terms: 30 + -12 + 5x + -4x = 8 Combine like terms: 30 + -12 = 18 18 + 5x + -4x = 8 Combine like terms: 5x + -4x = 1x 18 + 1x = 8 Solving 18 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 8 + -18 1x = 8 + -18 Combine like terms: 8 + -18 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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