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Simplifying x + 7(4 + -1x) = 3 + 2(x + -1) x + (4 * 7 + -1x * 7) = 3 + 2(x + -1) x + (28 + -7x) = 3 + 2(x + -1) Reorder the terms: 28 + x + -7x = 3 + 2(x + -1) Combine like terms: x + -7x = -6x 28 + -6x = 3 + 2(x + -1) Reorder the terms: 28 + -6x = 3 + 2(-1 + x) 28 + -6x = 3 + (-1 * 2 + x * 2) 28 + -6x = 3 + (-2 + 2x) Combine like terms: 3 + -2 = 1 28 + -6x = 1 + 2x Solving 28 + -6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + -6x + -2x = 1 + 2x + -2x Combine like terms: -6x + -2x = -8x 28 + -8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -8x = 1 + 0 28 + -8x = 1 Add '-28' to each side of the equation. 28 + -28 + -8x = 1 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = 1 + -28 -8x = 1 + -28 Combine like terms: 1 + -28 = -27 -8x = -27 Divide each side by '-8'. x = 3.375 Simplifying x = 3.375
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