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Simplifying 7(6 + -3x) + -3(8x + 4) = 30 (6 * 7 + -3x * 7) + -3(8x + 4) = 30 (42 + -21x) + -3(8x + 4) = 30 Reorder the terms: 42 + -21x + -3(4 + 8x) = 30 42 + -21x + (4 * -3 + 8x * -3) = 30 42 + -21x + (-12 + -24x) = 30 Reorder the terms: 42 + -12 + -21x + -24x = 30 Combine like terms: 42 + -12 = 30 30 + -21x + -24x = 30 Combine like terms: -21x + -24x = -45x 30 + -45x = 30 Add '-30' to each side of the equation. 30 + -30 + -45x = 30 + -30 Combine like terms: 30 + -30 = 0 0 + -45x = 30 + -30 -45x = 30 + -30 Combine like terms: 30 + -30 = 0 -45x = 0 Solving -45x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-45'. x = 0 Simplifying x = 0
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