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Simplifying 6(x + 3) + -4(2x + -3) = 10 Reorder the terms: 6(3 + x) + -4(2x + -3) = 10 (3 * 6 + x * 6) + -4(2x + -3) = 10 (18 + 6x) + -4(2x + -3) = 10 Reorder the terms: 18 + 6x + -4(-3 + 2x) = 10 18 + 6x + (-3 * -4 + 2x * -4) = 10 18 + 6x + (12 + -8x) = 10 Reorder the terms: 18 + 12 + 6x + -8x = 10 Combine like terms: 18 + 12 = 30 30 + 6x + -8x = 10 Combine like terms: 6x + -8x = -2x 30 + -2x = 10 Solving 30 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 10 + -30 -2x = 10 + -30 Combine like terms: 10 + -30 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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