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Simplifying 5(2x + 1) + -4(x + -2) = 1 Reorder the terms: 5(1 + 2x) + -4(x + -2) = 1 (1 * 5 + 2x * 5) + -4(x + -2) = 1 (5 + 10x) + -4(x + -2) = 1 Reorder the terms: 5 + 10x + -4(-2 + x) = 1 5 + 10x + (-2 * -4 + x * -4) = 1 5 + 10x + (8 + -4x) = 1 Reorder the terms: 5 + 8 + 10x + -4x = 1 Combine like terms: 5 + 8 = 13 13 + 10x + -4x = 1 Combine like terms: 10x + -4x = 6x 13 + 6x = 1 Solving 13 + 6x = 1 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 + 6x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 1 + -13 6x = 1 + -13 Combine like terms: 1 + -13 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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