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Simplifying 2(-7 + -9x) + 4 = 6 + -10(1 + 2x) (-7 * 2 + -9x * 2) + 4 = 6 + -10(1 + 2x) (-14 + -18x) + 4 = 6 + -10(1 + 2x) Reorder the terms: -14 + 4 + -18x = 6 + -10(1 + 2x) Combine like terms: -14 + 4 = -10 -10 + -18x = 6 + -10(1 + 2x) -10 + -18x = 6 + (1 * -10 + 2x * -10) -10 + -18x = 6 + (-10 + -20x) Combine like terms: 6 + -10 = -4 -10 + -18x = -4 + -20x Solving -10 + -18x = -4 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -10 + -18x + 20x = -4 + -20x + 20x Combine like terms: -18x + 20x = 2x -10 + 2x = -4 + -20x + 20x Combine like terms: -20x + 20x = 0 -10 + 2x = -4 + 0 -10 + 2x = -4 Add '10' to each side of the equation. -10 + 10 + 2x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -4 + 10 2x = -4 + 10 Combine like terms: -4 + 10 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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