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Simplifying 5(2x + 1) + -2(x + -4) = 2 Reorder the terms: 5(1 + 2x) + -2(x + -4) = 2 (1 * 5 + 2x * 5) + -2(x + -4) = 2 (5 + 10x) + -2(x + -4) = 2 Reorder the terms: 5 + 10x + -2(-4 + x) = 2 5 + 10x + (-4 * -2 + x * -2) = 2 5 + 10x + (8 + -2x) = 2 Reorder the terms: 5 + 8 + 10x + -2x = 2 Combine like terms: 5 + 8 = 13 13 + 10x + -2x = 2 Combine like terms: 10x + -2x = 8x 13 + 8x = 2 Solving 13 + 8x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 2 + -13 8x = 2 + -13 Combine like terms: 2 + -13 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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