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Simplifying 4(x + 2) + -5 = 1(x + 7) Reorder the terms: 4(2 + x) + -5 = 1(x + 7) (2 * 4 + x * 4) + -5 = 1(x + 7) (8 + 4x) + -5 = 1(x + 7) Reorder the terms: 8 + -5 + 4x = 1(x + 7) Combine like terms: 8 + -5 = 3 3 + 4x = 1(x + 7) Reorder the terms: 3 + 4x = 1(7 + x) 3 + 4x = (7 * 1 + x * 1) 3 + 4x = (7 + 1x) Solving 3 + 4x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 4x + -1x = 7 + 1x + -1x Combine like terms: 4x + -1x = 3x 3 + 3x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 3x = 7 + 0 3 + 3x = 7 Add '-3' to each side of the equation. 3 + -3 + 3x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 7 + -3 3x = 7 + -3 Combine like terms: 7 + -3 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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