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Simplifying 3(5x + 2) = 7 + -4(x + -8) Reorder the terms: 3(2 + 5x) = 7 + -4(x + -8) (2 * 3 + 5x * 3) = 7 + -4(x + -8) (6 + 15x) = 7 + -4(x + -8) Reorder the terms: 6 + 15x = 7 + -4(-8 + x) 6 + 15x = 7 + (-8 * -4 + x * -4) 6 + 15x = 7 + (32 + -4x) Combine like terms: 7 + 32 = 39 6 + 15x = 39 + -4x Solving 6 + 15x = 39 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 15x + 4x = 39 + -4x + 4x Combine like terms: 15x + 4x = 19x 6 + 19x = 39 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 19x = 39 + 0 6 + 19x = 39 Add '-6' to each side of the equation. 6 + -6 + 19x = 39 + -6 Combine like terms: 6 + -6 = 0 0 + 19x = 39 + -6 19x = 39 + -6 Combine like terms: 39 + -6 = 33 19x = 33 Divide each side by '19'. x = 1.736842105 Simplifying x = 1.736842105
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