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Simplifying 1 + -1x = 6(x + 10) + -3(3x + 1) Reorder the terms: 1 + -1x = 6(10 + x) + -3(3x + 1) 1 + -1x = (10 * 6 + x * 6) + -3(3x + 1) 1 + -1x = (60 + 6x) + -3(3x + 1) Reorder the terms: 1 + -1x = 60 + 6x + -3(1 + 3x) 1 + -1x = 60 + 6x + (1 * -3 + 3x * -3) 1 + -1x = 60 + 6x + (-3 + -9x) Reorder the terms: 1 + -1x = 60 + -3 + 6x + -9x Combine like terms: 60 + -3 = 57 1 + -1x = 57 + 6x + -9x Combine like terms: 6x + -9x = -3x 1 + -1x = 57 + -3x Solving 1 + -1x = 57 + -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 + -1x + 3x = 57 + -3x + 3x Combine like terms: -1x + 3x = 2x 1 + 2x = 57 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 2x = 57 + 0 1 + 2x = 57 Add '-1' to each side of the equation. 1 + -1 + 2x = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 57 + -1 2x = 57 + -1 Combine like terms: 57 + -1 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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