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Simplifying x + 5 = 4(x + 1) + 7 Reorder the terms: 5 + x = 4(x + 1) + 7 Reorder the terms: 5 + x = 4(1 + x) + 7 5 + x = (1 * 4 + x * 4) + 7 5 + x = (4 + 4x) + 7 Reorder the terms: 5 + x = 4 + 7 + 4x Combine like terms: 4 + 7 = 11 5 + x = 11 + 4x Solving 5 + x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + x + -4x = 11 + 4x + -4x Combine like terms: x + -4x = -3x 5 + -3x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3x = 11 + 0 5 + -3x = 11 Add '-5' to each side of the equation. 5 + -5 + -3x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 11 + -5 -3x = 11 + -5 Combine like terms: 11 + -5 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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