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Simplifying 7(3x + 4) = 18 + -2(5x + 6) Reorder the terms: 7(4 + 3x) = 18 + -2(5x + 6) (4 * 7 + 3x * 7) = 18 + -2(5x + 6) (28 + 21x) = 18 + -2(5x + 6) Reorder the terms: 28 + 21x = 18 + -2(6 + 5x) 28 + 21x = 18 + (6 * -2 + 5x * -2) 28 + 21x = 18 + (-12 + -10x) Combine like terms: 18 + -12 = 6 28 + 21x = 6 + -10x Solving 28 + 21x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + 21x + 10x = 6 + -10x + 10x Combine like terms: 21x + 10x = 31x 28 + 31x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 28 + 31x = 6 + 0 28 + 31x = 6 Add '-28' to each side of the equation. 28 + -28 + 31x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 31x = 6 + -28 31x = 6 + -28 Combine like terms: 6 + -28 = -22 31x = -22 Divide each side by '31'. x = -0.7096774194 Simplifying x = -0.7096774194
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