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