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Simplifying 2x + (4 + -30x) = -4(12 + -5x) + -2 Remove parenthesis around (4 + -30x) 2x + 4 + -30x = -4(12 + -5x) + -2 Reorder the terms: 4 + 2x + -30x = -4(12 + -5x) + -2 Combine like terms: 2x + -30x = -28x 4 + -28x = -4(12 + -5x) + -2 4 + -28x = (12 * -4 + -5x * -4) + -2 4 + -28x = (-48 + 20x) + -2 Reorder the terms: 4 + -28x = -48 + -2 + 20x Combine like terms: -48 + -2 = -50 4 + -28x = -50 + 20x Solving 4 + -28x = -50 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4 + -28x + -20x = -50 + 20x + -20x Combine like terms: -28x + -20x = -48x 4 + -48x = -50 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -48x = -50 + 0 4 + -48x = -50 Add '-4' to each side of the equation. 4 + -4 + -48x = -50 + -4 Combine like terms: 4 + -4 = 0 0 + -48x = -50 + -4 -48x = -50 + -4 Combine like terms: -50 + -4 = -54 -48x = -54 Divide each side by '-48'. x = 1.125 Simplifying x = 1.125
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