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Simplifying x + 7 = 4(3x + -6) Reorder the terms: 7 + x = 4(3x + -6) Reorder the terms: 7 + x = 4(-6 + 3x) 7 + x = (-6 * 4 + 3x * 4) 7 + x = (-24 + 12x) Solving 7 + x = -24 + 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. 7 + x + -12x = -24 + 12x + -12x Combine like terms: x + -12x = -11x 7 + -11x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -11x = -24 + 0 7 + -11x = -24 Add '-7' to each side of the equation. 7 + -7 + -11x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -24 + -7 -11x = -24 + -7 Combine like terms: -24 + -7 = -31 -11x = -31 Divide each side by '-11'. x = 2.818181818 Simplifying x = 2.818181818
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