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Simplifying 5x + -34(x + 1) = 2(x + 3) + -5 Reorder the terms: 5x + -34(1 + x) = 2(x + 3) + -5 5x + (1 * -34 + x * -34) = 2(x + 3) + -5 5x + (-34 + -34x) = 2(x + 3) + -5 Reorder the terms: -34 + 5x + -34x = 2(x + 3) + -5 Combine like terms: 5x + -34x = -29x -34 + -29x = 2(x + 3) + -5 Reorder the terms: -34 + -29x = 2(3 + x) + -5 -34 + -29x = (3 * 2 + x * 2) + -5 -34 + -29x = (6 + 2x) + -5 Reorder the terms: -34 + -29x = 6 + -5 + 2x Combine like terms: 6 + -5 = 1 -34 + -29x = 1 + 2x Solving -34 + -29x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + -29x + -2x = 1 + 2x + -2x Combine like terms: -29x + -2x = -31x -34 + -31x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + -31x = 1 + 0 -34 + -31x = 1 Add '34' to each side of the equation. -34 + 34 + -31x = 1 + 34 Combine like terms: -34 + 34 = 0 0 + -31x = 1 + 34 -31x = 1 + 34 Combine like terms: 1 + 34 = 35 -31x = 35 Divide each side by '-31'. x = -1.129032258 Simplifying x = -1.129032258
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