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Simplifying 3x + -2(x + 5) = 3(x + -6) * 4 Reorder the terms: 3x + -2(5 + x) = 3(x + -6) * 4 3x + (5 * -2 + x * -2) = 3(x + -6) * 4 3x + (-10 + -2x) = 3(x + -6) * 4 Reorder the terms: -10 + 3x + -2x = 3(x + -6) * 4 Combine like terms: 3x + -2x = 1x -10 + 1x = 3(x + -6) * 4 Reorder the terms: -10 + 1x = 3(-6 + x) * 4 Reorder the terms for easier multiplication: -10 + 1x = 3 * 4(-6 + x) Multiply 3 * 4 -10 + 1x = 12(-6 + x) -10 + 1x = (-6 * 12 + x * 12) -10 + 1x = (-72 + 12x) Solving -10 + 1x = -72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 1x + -12x = -72 + 12x + -12x Combine like terms: 1x + -12x = -11x -10 + -11x = -72 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -11x = -72 + 0 -10 + -11x = -72 Add '10' to each side of the equation. -10 + 10 + -11x = -72 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = -72 + 10 -11x = -72 + 10 Combine like terms: -72 + 10 = -62 -11x = -62 Divide each side by '-11'. x = 5.636363636 Simplifying x = 5.636363636
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