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Simplifying 6(x + 4) + 18 = -69 + 3(x + 40) Reorder the terms: 6(4 + x) + 18 = -69 + 3(x + 40) (4 * 6 + x * 6) + 18 = -69 + 3(x + 40) (24 + 6x) + 18 = -69 + 3(x + 40) Reorder the terms: 24 + 18 + 6x = -69 + 3(x + 40) Combine like terms: 24 + 18 = 42 42 + 6x = -69 + 3(x + 40) Reorder the terms: 42 + 6x = -69 + 3(40 + x) 42 + 6x = -69 + (40 * 3 + x * 3) 42 + 6x = -69 + (120 + 3x) Combine like terms: -69 + 120 = 51 42 + 6x = 51 + 3x Solving 42 + 6x = 51 + 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. 42 + 6x + -3x = 51 + 3x + -3x Combine like terms: 6x + -3x = 3x 42 + 3x = 51 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 3x = 51 + 0 42 + 3x = 51 Add '-42' to each side of the equation. 42 + -42 + 3x = 51 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 51 + -42 3x = 51 + -42 Combine like terms: 51 + -42 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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