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Simplifying 6(3 + -4x) + 10 = 8x + -3(2 + -3x) (3 * 6 + -4x * 6) + 10 = 8x + -3(2 + -3x) (18 + -24x) + 10 = 8x + -3(2 + -3x) Reorder the terms: 18 + 10 + -24x = 8x + -3(2 + -3x) Combine like terms: 18 + 10 = 28 28 + -24x = 8x + -3(2 + -3x) 28 + -24x = 8x + (2 * -3 + -3x * -3) 28 + -24x = 8x + (-6 + 9x) Reorder the terms: 28 + -24x = -6 + 8x + 9x Combine like terms: 8x + 9x = 17x 28 + -24x = -6 + 17x Solving 28 + -24x = -6 + 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. 28 + -24x + -17x = -6 + 17x + -17x Combine like terms: -24x + -17x = -41x 28 + -41x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 28 + -41x = -6 + 0 28 + -41x = -6 Add '-28' to each side of the equation. 28 + -28 + -41x = -6 + -28 Combine like terms: 28 + -28 = 0 0 + -41x = -6 + -28 -41x = -6 + -28 Combine like terms: -6 + -28 = -34 -41x = -34 Divide each side by '-41'. x = 0.8292682927 Simplifying x = 0.8292682927
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