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Simplifying -3x + 5(x + -2) = 4(1 + -3x) Reorder the terms: -3x + 5(-2 + x) = 4(1 + -3x) -3x + (-2 * 5 + x * 5) = 4(1 + -3x) -3x + (-10 + 5x) = 4(1 + -3x) Reorder the terms: -10 + -3x + 5x = 4(1 + -3x) Combine like terms: -3x + 5x = 2x -10 + 2x = 4(1 + -3x) -10 + 2x = (1 * 4 + -3x * 4) -10 + 2x = (4 + -12x) Solving -10 + 2x = 4 + -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 + 2x + 12x = 4 + -12x + 12x Combine like terms: 2x + 12x = 14x -10 + 14x = 4 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 14x = 4 + 0 -10 + 14x = 4 Add '10' to each side of the equation. -10 + 10 + 14x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 4 + 10 14x = 4 + 10 Combine like terms: 4 + 10 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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