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Simplifying 5(2x + -7) + 3(x + 4) = (x + 1) Reorder the terms: 5(-7 + 2x) + 3(x + 4) = (x + 1) (-7 * 5 + 2x * 5) + 3(x + 4) = (x + 1) (-35 + 10x) + 3(x + 4) = (x + 1) Reorder the terms: -35 + 10x + 3(4 + x) = (x + 1) -35 + 10x + (4 * 3 + x * 3) = (x + 1) -35 + 10x + (12 + 3x) = (x + 1) Reorder the terms: -35 + 12 + 10x + 3x = (x + 1) Combine like terms: -35 + 12 = -23 -23 + 10x + 3x = (x + 1) Combine like terms: 10x + 3x = 13x -23 + 13x = (x + 1) Reorder the terms: -23 + 13x = (1 + x) Remove parenthesis around (1 + x) -23 + 13x = 1 + x Solving -23 + 13x = 1 + x 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. -23 + 13x + -1x = 1 + x + -1x Combine like terms: 13x + -1x = 12x -23 + 12x = 1 + x + -1x Combine like terms: x + -1x = 0 -23 + 12x = 1 + 0 -23 + 12x = 1 Add '23' to each side of the equation. -23 + 23 + 12x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 1 + 23 12x = 1 + 23 Combine like terms: 1 + 23 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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