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