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