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Simplifying 2(3x + -5) + x = 3(x + 2) + -2(3x + -4) Reorder the terms: 2(-5 + 3x) + x = 3(x + 2) + -2(3x + -4) (-5 * 2 + 3x * 2) + x = 3(x + 2) + -2(3x + -4) (-10 + 6x) + x = 3(x + 2) + -2(3x + -4) Combine like terms: 6x + x = 7x -10 + 7x = 3(x + 2) + -2(3x + -4) Reorder the terms: -10 + 7x = 3(2 + x) + -2(3x + -4) -10 + 7x = (2 * 3 + x * 3) + -2(3x + -4) -10 + 7x = (6 + 3x) + -2(3x + -4) Reorder the terms: -10 + 7x = 6 + 3x + -2(-4 + 3x) -10 + 7x = 6 + 3x + (-4 * -2 + 3x * -2) -10 + 7x = 6 + 3x + (8 + -6x) Reorder the terms: -10 + 7x = 6 + 8 + 3x + -6x Combine like terms: 6 + 8 = 14 -10 + 7x = 14 + 3x + -6x Combine like terms: 3x + -6x = -3x -10 + 7x = 14 + -3x Solving -10 + 7x = 14 + -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. -10 + 7x + 3x = 14 + -3x + 3x Combine like terms: 7x + 3x = 10x -10 + 10x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 10x = 14 + 0 -10 + 10x = 14 Add '10' to each side of the equation. -10 + 10 + 10x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 14 + 10 10x = 14 + 10 Combine like terms: 14 + 10 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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