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Simplifying 6 + 4x = 6(2x + -7) Reorder the terms: 6 + 4x = 6(-7 + 2x) 6 + 4x = (-7 * 6 + 2x * 6) 6 + 4x = (-42 + 12x) Solving 6 + 4x = -42 + 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. 6 + 4x + -12x = -42 + 12x + -12x Combine like terms: 4x + -12x = -8x 6 + -8x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -8x = -42 + 0 6 + -8x = -42 Add '-6' to each side of the equation. 6 + -6 + -8x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -42 + -6 -8x = -42 + -6 Combine like terms: -42 + -6 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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