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Simplifying 1 + -2(x + -4) = 5x + 1 Reorder the terms: 1 + -2(-4 + x) = 5x + 1 1 + (-4 * -2 + x * -2) = 5x + 1 1 + (8 + -2x) = 5x + 1 Combine like terms: 1 + 8 = 9 9 + -2x = 5x + 1 Reorder the terms: 9 + -2x = 1 + 5x Solving 9 + -2x = 1 + 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. 9 + -2x + -5x = 1 + 5x + -5x Combine like terms: -2x + -5x = -7x 9 + -7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -7x = 1 + 0 9 + -7x = 1 Add '-9' to each side of the equation. 9 + -9 + -7x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 1 + -9 -7x = 1 + -9 Combine like terms: 1 + -9 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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