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