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Simplifying 7(-1x + 2) + x = 4(-2x + 1) Reorder the terms: 7(2 + -1x) + x = 4(-2x + 1) (2 * 7 + -1x * 7) + x = 4(-2x + 1) (14 + -7x) + x = 4(-2x + 1) Combine like terms: -7x + x = -6x 14 + -6x = 4(-2x + 1) Reorder the terms: 14 + -6x = 4(1 + -2x) 14 + -6x = (1 * 4 + -2x * 4) 14 + -6x = (4 + -8x) Solving 14 + -6x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + -6x + 8x = 4 + -8x + 8x Combine like terms: -6x + 8x = 2x 14 + 2x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 2x = 4 + 0 14 + 2x = 4 Add '-14' to each side of the equation. 14 + -14 + 2x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 4 + -14 2x = 4 + -14 Combine like terms: 4 + -14 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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