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Simplifying 3(x + 5) + -4(3 + -3x) = 5 + -8x Reorder the terms: 3(5 + x) + -4(3 + -3x) = 5 + -8x (5 * 3 + x * 3) + -4(3 + -3x) = 5 + -8x (15 + 3x) + -4(3 + -3x) = 5 + -8x 15 + 3x + (3 * -4 + -3x * -4) = 5 + -8x 15 + 3x + (-12 + 12x) = 5 + -8x Reorder the terms: 15 + -12 + 3x + 12x = 5 + -8x Combine like terms: 15 + -12 = 3 3 + 3x + 12x = 5 + -8x Combine like terms: 3x + 12x = 15x 3 + 15x = 5 + -8x Solving 3 + 15x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + 15x + 8x = 5 + -8x + 8x Combine like terms: 15x + 8x = 23x 3 + 23x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 23x = 5 + 0 3 + 23x = 5 Add '-3' to each side of the equation. 3 + -3 + 23x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 23x = 5 + -3 23x = 5 + -3 Combine like terms: 5 + -3 = 2 23x = 2 Divide each side by '23'. x = 0.08695652174 Simplifying x = 0.08695652174
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