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