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Simplifying -2(x + 3) + 5x = 3(4 + -2x) + -1(x + 2) Reorder the terms: -2(3 + x) + 5x = 3(4 + -2x) + -1(x + 2) (3 * -2 + x * -2) + 5x = 3(4 + -2x) + -1(x + 2) (-6 + -2x) + 5x = 3(4 + -2x) + -1(x + 2) Combine like terms: -2x + 5x = 3x -6 + 3x = 3(4 + -2x) + -1(x + 2) -6 + 3x = (4 * 3 + -2x * 3) + -1(x + 2) -6 + 3x = (12 + -6x) + -1(x + 2) Reorder the terms: -6 + 3x = 12 + -6x + -1(2 + x) -6 + 3x = 12 + -6x + (2 * -1 + x * -1) -6 + 3x = 12 + -6x + (-2 + -1x) Reorder the terms: -6 + 3x = 12 + -2 + -6x + -1x Combine like terms: 12 + -2 = 10 -6 + 3x = 10 + -6x + -1x Combine like terms: -6x + -1x = -7x -6 + 3x = 10 + -7x Solving -6 + 3x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 3x + 7x = 10 + -7x + 7x Combine like terms: 3x + 7x = 10x -6 + 10x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 10x = 10 + 0 -6 + 10x = 10 Add '6' to each side of the equation. -6 + 6 + 10x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 10 + 6 10x = 10 + 6 Combine like terms: 10 + 6 = 16 10x = 16 Divide each side by '10'. x = 1.6 Simplifying x = 1.6
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