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Simplifying 2(3x + -5) + -1x = 10 + 3(4x + -6) Reorder the terms: 2(-5 + 3x) + -1x = 10 + 3(4x + -6) (-5 * 2 + 3x * 2) + -1x = 10 + 3(4x + -6) (-10 + 6x) + -1x = 10 + 3(4x + -6) Combine like terms: 6x + -1x = 5x -10 + 5x = 10 + 3(4x + -6) Reorder the terms: -10 + 5x = 10 + 3(-6 + 4x) -10 + 5x = 10 + (-6 * 3 + 4x * 3) -10 + 5x = 10 + (-18 + 12x) Combine like terms: 10 + -18 = -8 -10 + 5x = -8 + 12x Solving -10 + 5x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 5x + -12x = -8 + 12x + -12x Combine like terms: 5x + -12x = -7x -10 + -7x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -7x = -8 + 0 -10 + -7x = -8 Add '10' to each side of the equation. -10 + 10 + -7x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -8 + 10 -7x = -8 + 10 Combine like terms: -8 + 10 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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