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Simplifying 6 + -6 + 6 + 4(x + 1) = 6x + 2 Reorder the terms: 6 + -6 + 6 + 4(1 + x) = 6x + 2 6 + -6 + 6 + (1 * 4 + x * 4) = 6x + 2 6 + -6 + 6 + (4 + 4x) = 6x + 2 Combine like terms: 6 + -6 = 0 0 + 6 + 4 + 4x = 6x + 2 6 + 4 + 4x = 6x + 2 Combine like terms: 6 + 4 = 10 10 + 4x = 6x + 2 Reorder the terms: 10 + 4x = 2 + 6x Solving 10 + 4x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 4x + -6x = 2 + 6x + -6x Combine like terms: 4x + -6x = -2x 10 + -2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -2x = 2 + 0 10 + -2x = 2 Add '-10' to each side of the equation. 10 + -10 + -2x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 2 + -10 -2x = 2 + -10 Combine like terms: 2 + -10 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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