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Simplifying 4(x + -6) + -3(2x + 2) = 14 Reorder the terms: 4(-6 + x) + -3(2x + 2) = 14 (-6 * 4 + x * 4) + -3(2x + 2) = 14 (-24 + 4x) + -3(2x + 2) = 14 Reorder the terms: -24 + 4x + -3(2 + 2x) = 14 -24 + 4x + (2 * -3 + 2x * -3) = 14 -24 + 4x + (-6 + -6x) = 14 Reorder the terms: -24 + -6 + 4x + -6x = 14 Combine like terms: -24 + -6 = -30 -30 + 4x + -6x = 14 Combine like terms: 4x + -6x = -2x -30 + -2x = 14 Solving -30 + -2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2x = 14 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 14 + 30 -2x = 14 + 30 Combine like terms: 14 + 30 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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