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Simplifying 7 + -6x = -5 + -3(4x + 6) Reorder the terms: 7 + -6x = -5 + -3(6 + 4x) 7 + -6x = -5 + (6 * -3 + 4x * -3) 7 + -6x = -5 + (-18 + -12x) Combine like terms: -5 + -18 = -23 7 + -6x = -23 + -12x Solving 7 + -6x = -23 + -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 + -6x + 12x = -23 + -12x + 12x Combine like terms: -6x + 12x = 6x 7 + 6x = -23 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 6x = -23 + 0 7 + 6x = -23 Add '-7' to each side of the equation. 7 + -7 + 6x = -23 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -23 + -7 6x = -23 + -7 Combine like terms: -23 + -7 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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