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Simplifying 5 + -1(x + 3) = 2x + 4(x + -1) Reorder the terms: 5 + -1(3 + x) = 2x + 4(x + -1) 5 + (3 * -1 + x * -1) = 2x + 4(x + -1) 5 + (-3 + -1x) = 2x + 4(x + -1) Combine like terms: 5 + -3 = 2 2 + -1x = 2x + 4(x + -1) Reorder the terms: 2 + -1x = 2x + 4(-1 + x) 2 + -1x = 2x + (-1 * 4 + x * 4) 2 + -1x = 2x + (-4 + 4x) Reorder the terms: 2 + -1x = -4 + 2x + 4x Combine like terms: 2x + 4x = 6x 2 + -1x = -4 + 6x Solving 2 + -1x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -1x + -6x = -4 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = -4 + 0 2 + -7x = -4 Add '-2' to each side of the equation. 2 + -2 + -7x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -4 + -2 -7x = -4 + -2 Combine like terms: -4 + -2 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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