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Simplifying 15x + 24 = 10 + 4(x + -2) Reorder the terms: 24 + 15x = 10 + 4(x + -2) Reorder the terms: 24 + 15x = 10 + 4(-2 + x) 24 + 15x = 10 + (-2 * 4 + x * 4) 24 + 15x = 10 + (-8 + 4x) Combine like terms: 10 + -8 = 2 24 + 15x = 2 + 4x Solving 24 + 15x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 15x + -4x = 2 + 4x + -4x Combine like terms: 15x + -4x = 11x 24 + 11x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 11x = 2 + 0 24 + 11x = 2 Add '-24' to each side of the equation. 24 + -24 + 11x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 2 + -24 11x = 2 + -24 Combine like terms: 2 + -24 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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