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Simplifying 6x + 2(x + -6) = 5(x + 1) + -4 Reorder the terms: 6x + 2(-6 + x) = 5(x + 1) + -4 6x + (-6 * 2 + x * 2) = 5(x + 1) + -4 6x + (-12 + 2x) = 5(x + 1) + -4 Reorder the terms: -12 + 6x + 2x = 5(x + 1) + -4 Combine like terms: 6x + 2x = 8x -12 + 8x = 5(x + 1) + -4 Reorder the terms: -12 + 8x = 5(1 + x) + -4 -12 + 8x = (1 * 5 + x * 5) + -4 -12 + 8x = (5 + 5x) + -4 Reorder the terms: -12 + 8x = 5 + -4 + 5x Combine like terms: 5 + -4 = 1 -12 + 8x = 1 + 5x Solving -12 + 8x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 8x + -5x = 1 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = 1 + 0 -12 + 3x = 1 Add '12' to each side of the equation. -12 + 12 + 3x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 1 + 12 3x = 1 + 12 Combine like terms: 1 + 12 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333
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