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