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Simplifying 5x + -42 = 2(x + -5) + 1 Reorder the terms: -42 + 5x = 2(x + -5) + 1 Reorder the terms: -42 + 5x = 2(-5 + x) + 1 -42 + 5x = (-5 * 2 + x * 2) + 1 -42 + 5x = (-10 + 2x) + 1 Reorder the terms: -42 + 5x = -10 + 1 + 2x Combine like terms: -10 + 1 = -9 -42 + 5x = -9 + 2x Solving -42 + 5x = -9 + 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. -42 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x -42 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 3x = -9 + 0 -42 + 3x = -9 Add '42' to each side of the equation. -42 + 42 + 3x = -9 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = -9 + 42 3x = -9 + 42 Combine like terms: -9 + 42 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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