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Simplifying 2(x + 5) + -4x = 6x + 8 Reorder the terms: 2(5 + x) + -4x = 6x + 8 (5 * 2 + x * 2) + -4x = 6x + 8 (10 + 2x) + -4x = 6x + 8 Combine like terms: 2x + -4x = -2x 10 + -2x = 6x + 8 Reorder the terms: 10 + -2x = 8 + 6x Solving 10 + -2x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -2x + -6x = 8 + 6x + -6x Combine like terms: -2x + -6x = -8x 10 + -8x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -8x = 8 + 0 10 + -8x = 8 Add '-10' to each side of the equation. 10 + -10 + -8x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 8 + -10 -8x = 8 + -10 Combine like terms: 8 + -10 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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