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Simplifying 3(3x + -1) + 4 = -1(x + 2) + -7 Reorder the terms: 3(-1 + 3x) + 4 = -1(x + 2) + -7 (-1 * 3 + 3x * 3) + 4 = -1(x + 2) + -7 (-3 + 9x) + 4 = -1(x + 2) + -7 Reorder the terms: -3 + 4 + 9x = -1(x + 2) + -7 Combine like terms: -3 + 4 = 1 1 + 9x = -1(x + 2) + -7 Reorder the terms: 1 + 9x = -1(2 + x) + -7 1 + 9x = (2 * -1 + x * -1) + -7 1 + 9x = (-2 + -1x) + -7 Reorder the terms: 1 + 9x = -2 + -7 + -1x Combine like terms: -2 + -7 = -9 1 + 9x = -9 + -1x Solving 1 + 9x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 9x + x = -9 + -1x + x Combine like terms: 9x + x = 10x 1 + 10x = -9 + -1x + x Combine like terms: -1x + x = 0 1 + 10x = -9 + 0 1 + 10x = -9 Add '-1' to each side of the equation. 1 + -1 + 10x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = -9 + -1 10x = -9 + -1 Combine like terms: -9 + -1 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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