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Simplifying 5 + -1(x + 4) = 3(7 + -2x) Reorder the terms: 5 + -1(4 + x) = 3(7 + -2x) 5 + (4 * -1 + x * -1) = 3(7 + -2x) 5 + (-4 + -1x) = 3(7 + -2x) Combine like terms: 5 + -4 = 1 1 + -1x = 3(7 + -2x) 1 + -1x = (7 * 3 + -2x * 3) 1 + -1x = (21 + -6x) Solving 1 + -1x = 21 + -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. 1 + -1x + 6x = 21 + -6x + 6x Combine like terms: -1x + 6x = 5x 1 + 5x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 5x = 21 + 0 1 + 5x = 21 Add '-1' to each side of the equation. 1 + -1 + 5x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 21 + -1 5x = 21 + -1 Combine like terms: 21 + -1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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