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Simplifying 3x + -4x + 8 = 2(x + 5) Reorder the terms: 8 + 3x + -4x = 2(x + 5) Combine like terms: 3x + -4x = -1x 8 + -1x = 2(x + 5) Reorder the terms: 8 + -1x = 2(5 + x) 8 + -1x = (5 * 2 + x * 2) 8 + -1x = (10 + 2x) Solving 8 + -1x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -1x + -2x = 10 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = 10 + 0 8 + -3x = 10 Add '-8' to each side of the equation. 8 + -8 + -3x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 10 + -8 -3x = 10 + -8 Combine like terms: 10 + -8 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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