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Simplifying 2x + 3 = 3x + -10 + -3(9x + -6) Reorder the terms: 3 + 2x = 3x + -10 + -3(9x + -6) Reorder the terms: 3 + 2x = 3x + -10 + -3(-6 + 9x) 3 + 2x = 3x + -10 + (-6 * -3 + 9x * -3) 3 + 2x = 3x + -10 + (18 + -27x) Reorder the terms: 3 + 2x = -10 + 18 + 3x + -27x Combine like terms: -10 + 18 = 8 3 + 2x = 8 + 3x + -27x Combine like terms: 3x + -27x = -24x 3 + 2x = 8 + -24x Solving 3 + 2x = 8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 3 + 2x + 24x = 8 + -24x + 24x Combine like terms: 2x + 24x = 26x 3 + 26x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 3 + 26x = 8 + 0 3 + 26x = 8 Add '-3' to each side of the equation. 3 + -3 + 26x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 26x = 8 + -3 26x = 8 + -3 Combine like terms: 8 + -3 = 5 26x = 5 Divide each side by '26'. x = 0.1923076923 Simplifying x = 0.1923076923
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