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