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Simplifying 6(3 + -1x) + 20 = 10 + 3(4x + 2) (3 * 6 + -1x * 6) + 20 = 10 + 3(4x + 2) (18 + -6x) + 20 = 10 + 3(4x + 2) Reorder the terms: 18 + 20 + -6x = 10 + 3(4x + 2) Combine like terms: 18 + 20 = 38 38 + -6x = 10 + 3(4x + 2) Reorder the terms: 38 + -6x = 10 + 3(2 + 4x) 38 + -6x = 10 + (2 * 3 + 4x * 3) 38 + -6x = 10 + (6 + 12x) Combine like terms: 10 + 6 = 16 38 + -6x = 16 + 12x Solving 38 + -6x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + -6x + -12x = 16 + 12x + -12x Combine like terms: -6x + -12x = -18x 38 + -18x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -18x = 16 + 0 38 + -18x = 16 Add '-38' to each side of the equation. 38 + -38 + -18x = 16 + -38 Combine like terms: 38 + -38 = 0 0 + -18x = 16 + -38 -18x = 16 + -38 Combine like terms: 16 + -38 = -22 -18x = -22 Divide each side by '-18'. x = 1.222222222 Simplifying x = 1.222222222
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