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Simplifying 5 + 2(5x + -2) = -2(5x + -4) + 6x Reorder the terms: 5 + 2(-2 + 5x) = -2(5x + -4) + 6x 5 + (-2 * 2 + 5x * 2) = -2(5x + -4) + 6x 5 + (-4 + 10x) = -2(5x + -4) + 6x Combine like terms: 5 + -4 = 1 1 + 10x = -2(5x + -4) + 6x Reorder the terms: 1 + 10x = -2(-4 + 5x) + 6x 1 + 10x = (-4 * -2 + 5x * -2) + 6x 1 + 10x = (8 + -10x) + 6x Combine like terms: -10x + 6x = -4x 1 + 10x = 8 + -4x Solving 1 + 10x = 8 + -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. 1 + 10x + 4x = 8 + -4x + 4x Combine like terms: 10x + 4x = 14x 1 + 14x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 14x = 8 + 0 1 + 14x = 8 Add '-1' to each side of the equation. 1 + -1 + 14x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 8 + -1 14x = 8 + -1 Combine like terms: 8 + -1 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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