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Simplifying 4 + -3(2x + -7) = 8 + -1(4 + -1x) Reorder the terms: 4 + -3(-7 + 2x) = 8 + -1(4 + -1x) 4 + (-7 * -3 + 2x * -3) = 8 + -1(4 + -1x) 4 + (21 + -6x) = 8 + -1(4 + -1x) Combine like terms: 4 + 21 = 25 25 + -6x = 8 + -1(4 + -1x) 25 + -6x = 8 + (4 * -1 + -1x * -1) 25 + -6x = 8 + (-4 + 1x) Combine like terms: 8 + -4 = 4 25 + -6x = 4 + 1x Solving 25 + -6x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + -6x + -1x = 4 + 1x + -1x Combine like terms: -6x + -1x = -7x 25 + -7x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 25 + -7x = 4 + 0 25 + -7x = 4 Add '-25' to each side of the equation. 25 + -25 + -7x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + -7x = 4 + -25 -7x = 4 + -25 Combine like terms: 4 + -25 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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