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Simplifying 4 + 6(2x + -3) = -2(x + 5) + 10 Reorder the terms: 4 + 6(-3 + 2x) = -2(x + 5) + 10 4 + (-3 * 6 + 2x * 6) = -2(x + 5) + 10 4 + (-18 + 12x) = -2(x + 5) + 10 Combine like terms: 4 + -18 = -14 -14 + 12x = -2(x + 5) + 10 Reorder the terms: -14 + 12x = -2(5 + x) + 10 -14 + 12x = (5 * -2 + x * -2) + 10 -14 + 12x = (-10 + -2x) + 10 Reorder the terms: -14 + 12x = -10 + 10 + -2x Combine like terms: -10 + 10 = 0 -14 + 12x = 0 + -2x -14 + 12x = -2x Solving -14 + 12x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + 12x + 2x = -2x + 2x Combine like terms: 12x + 2x = 14x -14 + 14x = -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 14x = 0 Add '14' to each side of the equation. -14 + 14 + 14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 0 + 14 14x = 0 + 14 Combine like terms: 0 + 14 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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