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