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Simplifying 3x + 7(8 + -1x) + 4 = 4 + 3x + -7(8 + -7) 3x + (8 * 7 + -1x * 7) + 4 = 4 + 3x + -7(8 + -7) 3x + (56 + -7x) + 4 = 4 + 3x + -7(8 + -7) Reorder the terms: 56 + 4 + 3x + -7x = 4 + 3x + -7(8 + -7) Combine like terms: 56 + 4 = 60 60 + 3x + -7x = 4 + 3x + -7(8 + -7) Combine like terms: 3x + -7x = -4x 60 + -4x = 4 + 3x + -7(8 + -7) Combine like terms: 8 + -7 = 1 60 + -4x = 4 + 3x + -7(1) Multiply -7 * 1 60 + -4x = 4 + 3x + -7 Reorder the terms: 60 + -4x = 4 + -7 + 3x Combine like terms: 4 + -7 = -3 60 + -4x = -3 + 3x Solving 60 + -4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 60 + -4x + -3x = -3 + 3x + -3x Combine like terms: -4x + -3x = -7x 60 + -7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + -7x = -3 + 0 60 + -7x = -3 Add '-60' to each side of the equation. 60 + -60 + -7x = -3 + -60 Combine like terms: 60 + -60 = 0 0 + -7x = -3 + -60 -7x = -3 + -60 Combine like terms: -3 + -60 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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