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Simplifying 8 + -2(2x + 1) = 3(x + -5) Reorder the terms: 8 + -2(1 + 2x) = 3(x + -5) 8 + (1 * -2 + 2x * -2) = 3(x + -5) 8 + (-2 + -4x) = 3(x + -5) Combine like terms: 8 + -2 = 6 6 + -4x = 3(x + -5) Reorder the terms: 6 + -4x = 3(-5 + x) 6 + -4x = (-5 * 3 + x * 3) 6 + -4x = (-15 + 3x) Solving 6 + -4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -4x + -3x = -15 + 3x + -3x Combine like terms: -4x + -3x = -7x 6 + -7x = -15 + 3x + -3x Combine like terms: 3x + -3x = 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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