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Simplifying 4(x + 6) = 2(3x + -10) Reorder the terms: 4(6 + x) = 2(3x + -10) (6 * 4 + x * 4) = 2(3x + -10) (24 + 4x) = 2(3x + -10) Reorder the terms: 24 + 4x = 2(-10 + 3x) 24 + 4x = (-10 * 2 + 3x * 2) 24 + 4x = (-20 + 6x) Solving 24 + 4x = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 4x + -6x = -20 + 6x + -6x Combine like terms: 4x + -6x = -2x 24 + -2x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -2x = -20 + 0 24 + -2x = -20 Add '-24' to each side of the equation. 24 + -24 + -2x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -20 + -24 -2x = -20 + -24 Combine like terms: -20 + -24 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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