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Simplifying 3(2 + -5x) = 5 + -2(10 + 4x) (2 * 3 + -5x * 3) = 5 + -2(10 + 4x) (6 + -15x) = 5 + -2(10 + 4x) 6 + -15x = 5 + (10 * -2 + 4x * -2) 6 + -15x = 5 + (-20 + -8x) Combine like terms: 5 + -20 = -15 6 + -15x = -15 + -8x Solving 6 + -15x = -15 + -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. 6 + -15x + 8x = -15 + -8x + 8x Combine like terms: -15x + 8x = -7x 6 + -7x = -15 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + -7x = -15 + 0 6 + -7x = -15 Add '-6' to each side of the equation. 6 + -6 + -7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -15 + -6 -7x = -15 + -6 Combine like terms: -15 + -6 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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