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Simplifying 3(2x + 1) = 6(4x + -2) + 10 + x Reorder the terms: 3(1 + 2x) = 6(4x + -2) + 10 + x (1 * 3 + 2x * 3) = 6(4x + -2) + 10 + x (3 + 6x) = 6(4x + -2) + 10 + x Reorder the terms: 3 + 6x = 6(-2 + 4x) + 10 + x 3 + 6x = (-2 * 6 + 4x * 6) + 10 + x 3 + 6x = (-12 + 24x) + 10 + x Reorder the terms: 3 + 6x = -12 + 10 + 24x + x Combine like terms: -12 + 10 = -2 3 + 6x = -2 + 24x + x Combine like terms: 24x + x = 25x 3 + 6x = -2 + 25x Solving 3 + 6x = -2 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 3 + 6x + -25x = -2 + 25x + -25x Combine like terms: 6x + -25x = -19x 3 + -19x = -2 + 25x + -25x Combine like terms: 25x + -25x = 0 3 + -19x = -2 + 0 3 + -19x = -2 Add '-3' to each side of the equation. 3 + -3 + -19x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -19x = -2 + -3 -19x = -2 + -3 Combine like terms: -2 + -3 = -5 -19x = -5 Divide each side by '-19'. x = 0.2631578947 Simplifying x = 0.2631578947
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