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Simplifying 6(x + 1) = 40 + 3x + -19 Reorder the terms: 6(1 + x) = 40 + 3x + -19 (1 * 6 + x * 6) = 40 + 3x + -19 (6 + 6x) = 40 + 3x + -19 Reorder the terms: 6 + 6x = 40 + -19 + 3x Combine like terms: 40 + -19 = 21 6 + 6x = 21 + 3x Solving 6 + 6x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 6x + -3x = 21 + 3x + -3x Combine like terms: 6x + -3x = 3x 6 + 3x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 3x = 21 + 0 6 + 3x = 21 Add '-6' to each side of the equation. 6 + -6 + 3x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 21 + -6 3x = 21 + -6 Combine like terms: 21 + -6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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