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Simplifying -3(x + 1) + 8 = 7(4 + -1x) + -3 Reorder the terms: -3(1 + x) + 8 = 7(4 + -1x) + -3 (1 * -3 + x * -3) + 8 = 7(4 + -1x) + -3 (-3 + -3x) + 8 = 7(4 + -1x) + -3 Reorder the terms: -3 + 8 + -3x = 7(4 + -1x) + -3 Combine like terms: -3 + 8 = 5 5 + -3x = 7(4 + -1x) + -3 5 + -3x = (4 * 7 + -1x * 7) + -3 5 + -3x = (28 + -7x) + -3 Reorder the terms: 5 + -3x = 28 + -3 + -7x Combine like terms: 28 + -3 = 25 5 + -3x = 25 + -7x Solving 5 + -3x = 25 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -3x + 7x = 25 + -7x + 7x Combine like terms: -3x + 7x = 4x 5 + 4x = 25 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 4x = 25 + 0 5 + 4x = 25 Add '-5' to each side of the equation. 5 + -5 + 4x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 25 + -5 4x = 25 + -5 Combine like terms: 25 + -5 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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