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Simplifying 2(x + 5) + -4 = 3x + 8 Reorder the terms: 2(5 + x) + -4 = 3x + 8 (5 * 2 + x * 2) + -4 = 3x + 8 (10 + 2x) + -4 = 3x + 8 Reorder the terms: 10 + -4 + 2x = 3x + 8 Combine like terms: 10 + -4 = 6 6 + 2x = 3x + 8 Reorder the terms: 6 + 2x = 8 + 3x Solving 6 + 2x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 8 + 0 6 + -1x = 8 Add '-6' to each side of the equation. 6 + -6 + -1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 8 + -6 -1x = 8 + -6 Combine like terms: 8 + -6 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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