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Simplifying 10 + 3x = 5 + -2(3 + 4x) 10 + 3x = 5 + (3 * -2 + 4x * -2) 10 + 3x = 5 + (-6 + -8x) Combine like terms: 5 + -6 = -1 10 + 3x = -1 + -8x Solving 10 + 3x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 3x + 8x = -1 + -8x + 8x Combine like terms: 3x + 8x = 11x 10 + 11x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 11x = -1 + 0 10 + 11x = -1 Add '-10' to each side of the equation. 10 + -10 + 11x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = -1 + -10 11x = -1 + -10 Combine like terms: -1 + -10 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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