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Simplifying 5(3x + -2) = 9x + -10 + 8x Reorder the terms: 5(-2 + 3x) = 9x + -10 + 8x (-2 * 5 + 3x * 5) = 9x + -10 + 8x (-10 + 15x) = 9x + -10 + 8x Reorder the terms: -10 + 15x = -10 + 9x + 8x Combine like terms: 9x + 8x = 17x -10 + 15x = -10 + 17x Add '10' to each side of the equation. -10 + 10 + 15x = -10 + 10 + 17x Combine like terms: -10 + 10 = 0 0 + 15x = -10 + 10 + 17x 15x = -10 + 10 + 17x Combine like terms: -10 + 10 = 0 15x = 0 + 17x 15x = 17x Solving 15x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 15x + -17x = 17x + -17x Combine like terms: 15x + -17x = -2x -2x = 17x + -17x Combine like terms: 17x + -17x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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