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Simplifying 6x + -6 + 2(2x + 6) = -4(x + 3) Reorder the terms: 6x + -6 + 2(6 + 2x) = -4(x + 3) 6x + -6 + (6 * 2 + 2x * 2) = -4(x + 3) 6x + -6 + (12 + 4x) = -4(x + 3) Reorder the terms: -6 + 12 + 6x + 4x = -4(x + 3) Combine like terms: -6 + 12 = 6 6 + 6x + 4x = -4(x + 3) Combine like terms: 6x + 4x = 10x 6 + 10x = -4(x + 3) Reorder the terms: 6 + 10x = -4(3 + x) 6 + 10x = (3 * -4 + x * -4) 6 + 10x = (-12 + -4x) Solving 6 + 10x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 10x + 4x = -12 + -4x + 4x Combine like terms: 10x + 4x = 14x 6 + 14x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 14x = -12 + 0 6 + 14x = -12 Add '-6' to each side of the equation. 6 + -6 + 14x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -12 + -6 14x = -12 + -6 Combine like terms: -12 + -6 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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