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Simplifying X + 7(4 + -1x) = 3x + 2(x + -1) X + (4 * 7 + -1x * 7) = 3x + 2(x + -1) X + (28 + -7x) = 3x + 2(x + -1) Reorder the terms: 28 + X + -7x = 3x + 2(x + -1) Reorder the terms: 28 + X + -7x = 3x + 2(-1 + x) 28 + X + -7x = 3x + (-1 * 2 + x * 2) 28 + X + -7x = 3x + (-2 + 2x) Reorder the terms: 28 + X + -7x = -2 + 3x + 2x Combine like terms: 3x + 2x = 5x 28 + X + -7x = -2 + 5x Solving 28 + X + -7x = -2 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + X + -28 + -7x = -2 + -28 + 5x Reorder the terms: 28 + -28 + X + -7x = -2 + -28 + 5x Combine like terms: 28 + -28 = 0 0 + X + -7x = -2 + -28 + 5x X + -7x = -2 + -28 + 5x Combine like terms: -2 + -28 = -30 X + -7x = -30 + 5x Add '7x' to each side of the equation. X + -7x + 7x = -30 + 5x + 7x Combine like terms: -7x + 7x = 0 X + 0 = -30 + 5x + 7x X = -30 + 5x + 7x Combine like terms: 5x + 7x = 12x X = -30 + 12x Simplifying X = -30 + 12x
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