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Simplifying -4(6 + -1x) + 6 = 6 + -6(x + 2) (6 * -4 + -1x * -4) + 6 = 6 + -6(x + 2) (-24 + 4x) + 6 = 6 + -6(x + 2) Reorder the terms: -24 + 6 + 4x = 6 + -6(x + 2) Combine like terms: -24 + 6 = -18 -18 + 4x = 6 + -6(x + 2) Reorder the terms: -18 + 4x = 6 + -6(2 + x) -18 + 4x = 6 + (2 * -6 + x * -6) -18 + 4x = 6 + (-12 + -6x) Combine like terms: 6 + -12 = -6 -18 + 4x = -6 + -6x Solving -18 + 4x = -6 + -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. -18 + 4x + 6x = -6 + -6x + 6x Combine like terms: 4x + 6x = 10x -18 + 10x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 10x = -6 + 0 -18 + 10x = -6 Add '18' to each side of the equation. -18 + 18 + 10x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = -6 + 18 10x = -6 + 18 Combine like terms: -6 + 18 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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