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Simplifying 3 + -1(4x + 6) = 6x + 7 Reorder the terms: 3 + -1(6 + 4x) = 6x + 7 3 + (6 * -1 + 4x * -1) = 6x + 7 3 + (-6 + -4x) = 6x + 7 Combine like terms: 3 + -6 = -3 -3 + -4x = 6x + 7 Reorder the terms: -3 + -4x = 7 + 6x Solving -3 + -4x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -4x + -6x = 7 + 6x + -6x Combine like terms: -4x + -6x = -10x -3 + -10x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -10x = 7 + 0 -3 + -10x = 7 Add '3' to each side of the equation. -3 + 3 + -10x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 7 + 3 -10x = 7 + 3 Combine like terms: 7 + 3 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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