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Simplifying 4(x + 8) = 7(x + -1) Reorder the terms: 4(8 + x) = 7(x + -1) (8 * 4 + x * 4) = 7(x + -1) (32 + 4x) = 7(x + -1) Reorder the terms: 32 + 4x = 7(-1 + x) 32 + 4x = (-1 * 7 + x * 7) 32 + 4x = (-7 + 7x) Solving 32 + 4x = -7 + 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. 32 + 4x + -7x = -7 + 7x + -7x Combine like terms: 4x + -7x = -3x 32 + -3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 32 + -3x = -7 + 0 32 + -3x = -7 Add '-32' to each side of the equation. 32 + -32 + -3x = -7 + -32 Combine like terms: 32 + -32 = 0 0 + -3x = -7 + -32 -3x = -7 + -32 Combine like terms: -7 + -32 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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