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Simplifying x + (x + 4) = 5(x + 2) + -51 Reorder the terms: x + (4 + x) = 5(x + 2) + -51 Remove parenthesis around (4 + x) x + 4 + x = 5(x + 2) + -51 Reorder the terms: 4 + x + x = 5(x + 2) + -51 Combine like terms: x + x = 2x 4 + 2x = 5(x + 2) + -51 Reorder the terms: 4 + 2x = 5(2 + x) + -51 4 + 2x = (2 * 5 + x * 5) + -51 4 + 2x = (10 + 5x) + -51 Reorder the terms: 4 + 2x = 10 + -51 + 5x Combine like terms: 10 + -51 = -41 4 + 2x = -41 + 5x Solving 4 + 2x = -41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 2x + -5x = -41 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = -41 + 0 4 + -3x = -41 Add '-4' to each side of the equation. 4 + -4 + -3x = -41 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -41 + -4 -3x = -41 + -4 Combine like terms: -41 + -4 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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