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Simplifying 6x + -24 = 3(10x + -5) Reorder the terms: -24 + 6x = 3(10x + -5) Reorder the terms: -24 + 6x = 3(-5 + 10x) -24 + 6x = (-5 * 3 + 10x * 3) -24 + 6x = (-15 + 30x) Solving -24 + 6x = -15 + 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. -24 + 6x + -30x = -15 + 30x + -30x Combine like terms: 6x + -30x = -24x -24 + -24x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 -24 + -24x = -15 + 0 -24 + -24x = -15 Add '24' to each side of the equation. -24 + 24 + -24x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + -24x = -15 + 24 -24x = -15 + 24 Combine like terms: -15 + 24 = 9 -24x = 9 Divide each side by '-24'. x = -0.375 Simplifying x = -0.375
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