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Simplifying 6x + 8 + -2x(7 + -2) = 2(6x + 1) Combine like terms: 7 + -2 = 5 6x + 8 + -2x(5) = 2(6x + 1) Reorder the terms for easier multiplication: 6x + 8 + -2 * 5x = 2(6x + 1) Multiply -2 * 5 6x + 8 + -10x = 2(6x + 1) Reorder the terms: 8 + 6x + -10x = 2(6x + 1) Combine like terms: 6x + -10x = -4x 8 + -4x = 2(6x + 1) Reorder the terms: 8 + -4x = 2(1 + 6x) 8 + -4x = (1 * 2 + 6x * 2) 8 + -4x = (2 + 12x) Solving 8 + -4x = 2 + 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. 8 + -4x + -12x = 2 + 12x + -12x Combine like terms: -4x + -12x = -16x 8 + -16x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -16x = 2 + 0 8 + -16x = 2 Add '-8' to each side of the equation. 8 + -8 + -16x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = 2 + -8 -16x = 2 + -8 Combine like terms: 2 + -8 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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