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Simplifying 2(3x + -4) = 10x + -5 + 2x Reorder the terms: 2(-4 + 3x) = 10x + -5 + 2x (-4 * 2 + 3x * 2) = 10x + -5 + 2x (-8 + 6x) = 10x + -5 + 2x Reorder the terms: -8 + 6x = -5 + 10x + 2x Combine like terms: 10x + 2x = 12x -8 + 6x = -5 + 12x Solving -8 + 6x = -5 + 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. -8 + 6x + -12x = -5 + 12x + -12x Combine like terms: 6x + -12x = -6x -8 + -6x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -6x = -5 + 0 -8 + -6x = -5 Add '8' to each side of the equation. -8 + 8 + -6x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -5 + 8 -6x = -5 + 8 Combine like terms: -5 + 8 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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