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Simplifying 3(x + -1) + 68 = x + -7(x + 1) Reorder the terms: 3(-1 + x) + 68 = x + -7(x + 1) (-1 * 3 + x * 3) + 68 = x + -7(x + 1) (-3 + 3x) + 68 = x + -7(x + 1) Reorder the terms: -3 + 68 + 3x = x + -7(x + 1) Combine like terms: -3 + 68 = 65 65 + 3x = x + -7(x + 1) Reorder the terms: 65 + 3x = x + -7(1 + x) 65 + 3x = x + (1 * -7 + x * -7) 65 + 3x = x + (-7 + -7x) Reorder the terms: 65 + 3x = -7 + x + -7x Combine like terms: x + -7x = -6x 65 + 3x = -7 + -6x Solving 65 + 3x = -7 + -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. 65 + 3x + 6x = -7 + -6x + 6x Combine like terms: 3x + 6x = 9x 65 + 9x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 65 + 9x = -7 + 0 65 + 9x = -7 Add '-65' to each side of the equation. 65 + -65 + 9x = -7 + -65 Combine like terms: 65 + -65 = 0 0 + 9x = -7 + -65 9x = -7 + -65 Combine like terms: -7 + -65 = -72 9x = -72 Divide each side by '9'. x = -8 Simplifying x = -8
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