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Simplifying x + -3(x + -2) = 4(x + 6) + -6 Reorder the terms: x + -3(-2 + x) = 4(x + 6) + -6 x + (-2 * -3 + x * -3) = 4(x + 6) + -6 x + (6 + -3x) = 4(x + 6) + -6 Reorder the terms: 6 + x + -3x = 4(x + 6) + -6 Combine like terms: x + -3x = -2x 6 + -2x = 4(x + 6) + -6 Reorder the terms: 6 + -2x = 4(6 + x) + -6 6 + -2x = (6 * 4 + x * 4) + -6 6 + -2x = (24 + 4x) + -6 Reorder the terms: 6 + -2x = 24 + -6 + 4x Combine like terms: 24 + -6 = 18 6 + -2x = 18 + 4x Solving 6 + -2x = 18 + 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 + -2x + -4x = 18 + 4x + -4x Combine like terms: -2x + -4x = -6x 6 + -6x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -6x = 18 + 0 6 + -6x = 18 Add '-6' to each side of the equation. 6 + -6 + -6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 18 + -6 -6x = 18 + -6 Combine like terms: 18 + -6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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