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Simplifying 6(4x + -8) = 3(24x + 15) Reorder the terms: 6(-8 + 4x) = 3(24x + 15) (-8 * 6 + 4x * 6) = 3(24x + 15) (-48 + 24x) = 3(24x + 15) Reorder the terms: -48 + 24x = 3(15 + 24x) -48 + 24x = (15 * 3 + 24x * 3) -48 + 24x = (45 + 72x) Solving -48 + 24x = 45 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -48 + 24x + -72x = 45 + 72x + -72x Combine like terms: 24x + -72x = -48x -48 + -48x = 45 + 72x + -72x Combine like terms: 72x + -72x = 0 -48 + -48x = 45 + 0 -48 + -48x = 45 Add '48' to each side of the equation. -48 + 48 + -48x = 45 + 48 Combine like terms: -48 + 48 = 0 0 + -48x = 45 + 48 -48x = 45 + 48 Combine like terms: 45 + 48 = 93 -48x = 93 Divide each side by '-48'. x = -1.9375 Simplifying x = -1.9375
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