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Simplifying 5x + 2 + -3(4 + -3x) = 2(2 + 3x) + 7x 5x + 2 + (4 * -3 + -3x * -3) = 2(2 + 3x) + 7x 5x + 2 + (-12 + 9x) = 2(2 + 3x) + 7x Reorder the terms: 2 + -12 + 5x + 9x = 2(2 + 3x) + 7x Combine like terms: 2 + -12 = -10 -10 + 5x + 9x = 2(2 + 3x) + 7x Combine like terms: 5x + 9x = 14x -10 + 14x = 2(2 + 3x) + 7x -10 + 14x = (2 * 2 + 3x * 2) + 7x -10 + 14x = (4 + 6x) + 7x Combine like terms: 6x + 7x = 13x -10 + 14x = 4 + 13x Solving -10 + 14x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 14x + -13x = 4 + 13x + -13x Combine like terms: 14x + -13x = 1x -10 + 1x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 1x = 4 + 0 -10 + 1x = 4 Add '10' to each side of the equation. -10 + 10 + 1x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 4 + 10 1x = 4 + 10 Combine like terms: 4 + 10 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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