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Simplifying -7 + 8(5 + -3x) = 3(7 + -9x) -7 + (5 * 8 + -3x * 8) = 3(7 + -9x) -7 + (40 + -24x) = 3(7 + -9x) Combine like terms: -7 + 40 = 33 33 + -24x = 3(7 + -9x) 33 + -24x = (7 * 3 + -9x * 3) 33 + -24x = (21 + -27x) Solving 33 + -24x = 21 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 33 + -24x + 27x = 21 + -27x + 27x Combine like terms: -24x + 27x = 3x 33 + 3x = 21 + -27x + 27x Combine like terms: -27x + 27x = 0 33 + 3x = 21 + 0 33 + 3x = 21 Add '-33' to each side of the equation. 33 + -33 + 3x = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 21 + -33 3x = 21 + -33 Combine like terms: 21 + -33 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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