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Simplifying 10(2x + 1) + -6 = 12(x + 1) + 8(x + -2) Reorder the terms: 10(1 + 2x) + -6 = 12(x + 1) + 8(x + -2) (1 * 10 + 2x * 10) + -6 = 12(x + 1) + 8(x + -2) (10 + 20x) + -6 = 12(x + 1) + 8(x + -2) Reorder the terms: 10 + -6 + 20x = 12(x + 1) + 8(x + -2) Combine like terms: 10 + -6 = 4 4 + 20x = 12(x + 1) + 8(x + -2) Reorder the terms: 4 + 20x = 12(1 + x) + 8(x + -2) 4 + 20x = (1 * 12 + x * 12) + 8(x + -2) 4 + 20x = (12 + 12x) + 8(x + -2) Reorder the terms: 4 + 20x = 12 + 12x + 8(-2 + x) 4 + 20x = 12 + 12x + (-2 * 8 + x * 8) 4 + 20x = 12 + 12x + (-16 + 8x) Reorder the terms: 4 + 20x = 12 + -16 + 12x + 8x Combine like terms: 12 + -16 = -4 4 + 20x = -4 + 12x + 8x Combine like terms: 12x + 8x = 20x 4 + 20x = -4 + 20x Add '-20x' to each side of the equation. 4 + 20x + -20x = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + 0 = -4 + 20x + -20x 4 = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 4 = -4 + 0 4 = -4 Solving 4 = -4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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