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Simplifying 5(3x + -12) + -2(x + -6) = 10 Reorder the terms: 5(-12 + 3x) + -2(x + -6) = 10 (-12 * 5 + 3x * 5) + -2(x + -6) = 10 (-60 + 15x) + -2(x + -6) = 10 Reorder the terms: -60 + 15x + -2(-6 + x) = 10 -60 + 15x + (-6 * -2 + x * -2) = 10 -60 + 15x + (12 + -2x) = 10 Reorder the terms: -60 + 12 + 15x + -2x = 10 Combine like terms: -60 + 12 = -48 -48 + 15x + -2x = 10 Combine like terms: 15x + -2x = 13x -48 + 13x = 10 Solving -48 + 13x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 13x = 10 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 10 + 48 13x = 10 + 48 Combine like terms: 10 + 48 = 58 13x = 58 Divide each side by '13'. x = 4.461538462 Simplifying x = 4.461538462
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