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Simplifying 12 + -2(3x + -5) = 10x + -48 Reorder the terms: 12 + -2(-5 + 3x) = 10x + -48 12 + (-5 * -2 + 3x * -2) = 10x + -48 12 + (10 + -6x) = 10x + -48 Combine like terms: 12 + 10 = 22 22 + -6x = 10x + -48 Reorder the terms: 22 + -6x = -48 + 10x Solving 22 + -6x = -48 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + -6x + -10x = -48 + 10x + -10x Combine like terms: -6x + -10x = -16x 22 + -16x = -48 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -16x = -48 + 0 22 + -16x = -48 Add '-22' to each side of the equation. 22 + -22 + -16x = -48 + -22 Combine like terms: 22 + -22 = 0 0 + -16x = -48 + -22 -16x = -48 + -22 Combine like terms: -48 + -22 = -70 -16x = -70 Divide each side by '-16'. x = 4.375 Simplifying x = 4.375
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