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Simplifying 7(x + 4) + -1(3x + -8) = 7 Reorder the terms: 7(4 + x) + -1(3x + -8) = 7 (4 * 7 + x * 7) + -1(3x + -8) = 7 (28 + 7x) + -1(3x + -8) = 7 Reorder the terms: 28 + 7x + -1(-8 + 3x) = 7 28 + 7x + (-8 * -1 + 3x * -1) = 7 28 + 7x + (8 + -3x) = 7 Reorder the terms: 28 + 8 + 7x + -3x = 7 Combine like terms: 28 + 8 = 36 36 + 7x + -3x = 7 Combine like terms: 7x + -3x = 4x 36 + 4x = 7 Solving 36 + 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4x = 7 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 7 + -36 4x = 7 + -36 Combine like terms: 7 + -36 = -29 4x = -29 Divide each side by '4'. x = -7.25 Simplifying x = -7.25
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