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Simplifying 6(2x + -3) + -3(x + 5) = 2(x + -5) + -2 Reorder the terms: 6(-3 + 2x) + -3(x + 5) = 2(x + -5) + -2 (-3 * 6 + 2x * 6) + -3(x + 5) = 2(x + -5) + -2 (-18 + 12x) + -3(x + 5) = 2(x + -5) + -2 Reorder the terms: -18 + 12x + -3(5 + x) = 2(x + -5) + -2 -18 + 12x + (5 * -3 + x * -3) = 2(x + -5) + -2 -18 + 12x + (-15 + -3x) = 2(x + -5) + -2 Reorder the terms: -18 + -15 + 12x + -3x = 2(x + -5) + -2 Combine like terms: -18 + -15 = -33 -33 + 12x + -3x = 2(x + -5) + -2 Combine like terms: 12x + -3x = 9x -33 + 9x = 2(x + -5) + -2 Reorder the terms: -33 + 9x = 2(-5 + x) + -2 -33 + 9x = (-5 * 2 + x * 2) + -2 -33 + 9x = (-10 + 2x) + -2 Reorder the terms: -33 + 9x = -10 + -2 + 2x Combine like terms: -10 + -2 = -12 -33 + 9x = -12 + 2x Solving -33 + 9x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 9x + -2x = -12 + 2x + -2x Combine like terms: 9x + -2x = 7x -33 + 7x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 7x = -12 + 0 -33 + 7x = -12 Add '33' to each side of the equation. -33 + 33 + 7x = -12 + 33 Combine like terms: -33 + 33 = 0 0 + 7x = -12 + 33 7x = -12 + 33 Combine like terms: -12 + 33 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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