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Simplifying 5x + 2(3x + -5) = 3(2x + -6) + 6x + 10 Reorder the terms: 5x + 2(-5 + 3x) = 3(2x + -6) + 6x + 10 5x + (-5 * 2 + 3x * 2) = 3(2x + -6) + 6x + 10 5x + (-10 + 6x) = 3(2x + -6) + 6x + 10 Reorder the terms: -10 + 5x + 6x = 3(2x + -6) + 6x + 10 Combine like terms: 5x + 6x = 11x -10 + 11x = 3(2x + -6) + 6x + 10 Reorder the terms: -10 + 11x = 3(-6 + 2x) + 6x + 10 -10 + 11x = (-6 * 3 + 2x * 3) + 6x + 10 -10 + 11x = (-18 + 6x) + 6x + 10 Reorder the terms: -10 + 11x = -18 + 10 + 6x + 6x Combine like terms: -18 + 10 = -8 -10 + 11x = -8 + 6x + 6x Combine like terms: 6x + 6x = 12x -10 + 11x = -8 + 12x Solving -10 + 11x = -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 + 11x + -12x = -8 + 12x + -12x Combine like terms: 11x + -12x = -1x -10 + -1x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -1x = -8 + 0 -10 + -1x = -8 Add '10' to each side of the equation. -10 + 10 + -1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -8 + 10 -1x = -8 + 10 Combine like terms: -8 + 10 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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