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Simplifying 5(x + 2) + -4x = 4(x + 6) Reorder the terms: 5(2 + x) + -4x = 4(x + 6) (2 * 5 + x * 5) + -4x = 4(x + 6) (10 + 5x) + -4x = 4(x + 6) Combine like terms: 5x + -4x = 1x 10 + 1x = 4(x + 6) Reorder the terms: 10 + 1x = 4(6 + x) 10 + 1x = (6 * 4 + x * 4) 10 + 1x = (24 + 4x) Solving 10 + 1x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 1x + -4x = 24 + 4x + -4x Combine like terms: 1x + -4x = -3x 10 + -3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -3x = 24 + 0 10 + -3x = 24 Add '-10' to each side of the equation. 10 + -10 + -3x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 24 + -10 -3x = 24 + -10 Combine like terms: 24 + -10 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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