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Simplifying 48 = 2(5x + -2) + 4(5x + -2) Reorder the terms: 48 = 2(-2 + 5x) + 4(5x + -2) 48 = (-2 * 2 + 5x * 2) + 4(5x + -2) 48 = (-4 + 10x) + 4(5x + -2) Reorder the terms: 48 = -4 + 10x + 4(-2 + 5x) 48 = -4 + 10x + (-2 * 4 + 5x * 4) 48 = -4 + 10x + (-8 + 20x) Reorder the terms: 48 = -4 + -8 + 10x + 20x Combine like terms: -4 + -8 = -12 48 = -12 + 10x + 20x Combine like terms: 10x + 20x = 30x 48 = -12 + 30x Solving 48 = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 48 + -30x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 48 + -30x = -12 + 0 48 + -30x = -12 Add '-48' to each side of the equation. 48 + -48 + -30x = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -30x = -12 + -48 -30x = -12 + -48 Combine like terms: -12 + -48 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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