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Simplifying 4(3x + -1) + 2x = 3(x + -2) + 13 Reorder the terms: 4(-1 + 3x) + 2x = 3(x + -2) + 13 (-1 * 4 + 3x * 4) + 2x = 3(x + -2) + 13 (-4 + 12x) + 2x = 3(x + -2) + 13 Combine like terms: 12x + 2x = 14x -4 + 14x = 3(x + -2) + 13 Reorder the terms: -4 + 14x = 3(-2 + x) + 13 -4 + 14x = (-2 * 3 + x * 3) + 13 -4 + 14x = (-6 + 3x) + 13 Reorder the terms: -4 + 14x = -6 + 13 + 3x Combine like terms: -6 + 13 = 7 -4 + 14x = 7 + 3x Solving -4 + 14x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 14x + -3x = 7 + 3x + -3x Combine like terms: 14x + -3x = 11x -4 + 11x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 11x = 7 + 0 -4 + 11x = 7 Add '4' to each side of the equation. -4 + 4 + 11x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 7 + 4 11x = 7 + 4 Combine like terms: 7 + 4 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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