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Simplifying 7(3x + 8) + -2(2x + 4) = 48 Reorder the terms: 7(8 + 3x) + -2(2x + 4) = 48 (8 * 7 + 3x * 7) + -2(2x + 4) = 48 (56 + 21x) + -2(2x + 4) = 48 Reorder the terms: 56 + 21x + -2(4 + 2x) = 48 56 + 21x + (4 * -2 + 2x * -2) = 48 56 + 21x + (-8 + -4x) = 48 Reorder the terms: 56 + -8 + 21x + -4x = 48 Combine like terms: 56 + -8 = 48 48 + 21x + -4x = 48 Combine like terms: 21x + -4x = 17x 48 + 17x = 48 Add '-48' to each side of the equation. 48 + -48 + 17x = 48 + -48 Combine like terms: 48 + -48 = 0 0 + 17x = 48 + -48 17x = 48 + -48 Combine like terms: 48 + -48 = 0 17x = 0 Solving 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '17'. x = 0 Simplifying x = 0
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