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Simplifying 2(5x + -6) = 48 + -3(x + 4) Reorder the terms: 2(-6 + 5x) = 48 + -3(x + 4) (-6 * 2 + 5x * 2) = 48 + -3(x + 4) (-12 + 10x) = 48 + -3(x + 4) Reorder the terms: -12 + 10x = 48 + -3(4 + x) -12 + 10x = 48 + (4 * -3 + x * -3) -12 + 10x = 48 + (-12 + -3x) Combine like terms: 48 + -12 = 36 -12 + 10x = 36 + -3x Solving -12 + 10x = 36 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 10x + 3x = 36 + -3x + 3x Combine like terms: 10x + 3x = 13x -12 + 13x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 13x = 36 + 0 -12 + 13x = 36 Add '12' to each side of the equation. -12 + 12 + 13x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 36 + 12 13x = 36 + 12 Combine like terms: 36 + 12 = 48 13x = 48 Divide each side by '13'. x = 3.692307692 Simplifying x = 3.692307692
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