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Simplifying 4 + 8x = -12(4 + -2x) + 24(-2 + x) 4 + 8x = (4 * -12 + -2x * -12) + 24(-2 + x) 4 + 8x = (-48 + 24x) + 24(-2 + x) 4 + 8x = -48 + 24x + (-2 * 24 + x * 24) 4 + 8x = -48 + 24x + (-48 + 24x) Reorder the terms: 4 + 8x = -48 + -48 + 24x + 24x Combine like terms: -48 + -48 = -96 4 + 8x = -96 + 24x + 24x Combine like terms: 24x + 24x = 48x 4 + 8x = -96 + 48x Solving 4 + 8x = -96 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 4 + 8x + -48x = -96 + 48x + -48x Combine like terms: 8x + -48x = -40x 4 + -40x = -96 + 48x + -48x Combine like terms: 48x + -48x = 0 4 + -40x = -96 + 0 4 + -40x = -96 Add '-4' to each side of the equation. 4 + -4 + -40x = -96 + -4 Combine like terms: 4 + -4 = 0 0 + -40x = -96 + -4 -40x = -96 + -4 Combine like terms: -96 + -4 = -100 -40x = -100 Divide each side by '-40'. x = 2.5 Simplifying x = 2.5
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