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Simplifying 3(1 + -3x) = 8(-4x + 7) (1 * 3 + -3x * 3) = 8(-4x + 7) (3 + -9x) = 8(-4x + 7) Reorder the terms: 3 + -9x = 8(7 + -4x) 3 + -9x = (7 * 8 + -4x * 8) 3 + -9x = (56 + -32x) Solving 3 + -9x = 56 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 3 + -9x + 32x = 56 + -32x + 32x Combine like terms: -9x + 32x = 23x 3 + 23x = 56 + -32x + 32x Combine like terms: -32x + 32x = 0 3 + 23x = 56 + 0 3 + 23x = 56 Add '-3' to each side of the equation. 3 + -3 + 23x = 56 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = 56 + -3 23x = 56 + -3 Combine like terms: 56 + -3 = 53 23x = 53 Divide each side by '23'. x = 2.304347826 Simplifying x = 2.304347826
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