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Simplifying 1 + -3(4x + 7) = 2(x + -10) Reorder the terms: 1 + -3(7 + 4x) = 2(x + -10) 1 + (7 * -3 + 4x * -3) = 2(x + -10) 1 + (-21 + -12x) = 2(x + -10) Combine like terms: 1 + -21 = -20 -20 + -12x = 2(x + -10) Reorder the terms: -20 + -12x = 2(-10 + x) -20 + -12x = (-10 * 2 + x * 2) -20 + -12x = (-20 + 2x) Add '20' to each side of the equation. -20 + 20 + -12x = -20 + 20 + 2x Combine like terms: -20 + 20 = 0 0 + -12x = -20 + 20 + 2x -12x = -20 + 20 + 2x Combine like terms: -20 + 20 = 0 -12x = 0 + 2x -12x = 2x Solving -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. -12x + -2x = 2x + -2x Combine like terms: -12x + -2x = -14x -14x = 2x + -2x Combine like terms: 2x + -2x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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