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Simplifying 3x + -5(x + -2) = 6 + 5x + -24 Reorder the terms: 3x + -5(-2 + x) = 6 + 5x + -24 3x + (-2 * -5 + x * -5) = 6 + 5x + -24 3x + (10 + -5x) = 6 + 5x + -24 Reorder the terms: 10 + 3x + -5x = 6 + 5x + -24 Combine like terms: 3x + -5x = -2x 10 + -2x = 6 + 5x + -24 Reorder the terms: 10 + -2x = 6 + -24 + 5x Combine like terms: 6 + -24 = -18 10 + -2x = -18 + 5x Solving 10 + -2x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -2x + -5x = -18 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = -18 + 0 10 + -7x = -18 Add '-10' to each side of the equation. 10 + -10 + -7x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = -18 + -10 -7x = -18 + -10 Combine like terms: -18 + -10 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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