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Simplifying 4(x + -3) + -2(x + -1) = -2(x + 2) + -14 Reorder the terms: 4(-3 + x) + -2(x + -1) = -2(x + 2) + -14 (-3 * 4 + x * 4) + -2(x + -1) = -2(x + 2) + -14 (-12 + 4x) + -2(x + -1) = -2(x + 2) + -14 Reorder the terms: -12 + 4x + -2(-1 + x) = -2(x + 2) + -14 -12 + 4x + (-1 * -2 + x * -2) = -2(x + 2) + -14 -12 + 4x + (2 + -2x) = -2(x + 2) + -14 Reorder the terms: -12 + 2 + 4x + -2x = -2(x + 2) + -14 Combine like terms: -12 + 2 = -10 -10 + 4x + -2x = -2(x + 2) + -14 Combine like terms: 4x + -2x = 2x -10 + 2x = -2(x + 2) + -14 Reorder the terms: -10 + 2x = -2(2 + x) + -14 -10 + 2x = (2 * -2 + x * -2) + -14 -10 + 2x = (-4 + -2x) + -14 Reorder the terms: -10 + 2x = -4 + -14 + -2x Combine like terms: -4 + -14 = -18 -10 + 2x = -18 + -2x Solving -10 + 2x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 2x + 2x = -18 + -2x + 2x Combine like terms: 2x + 2x = 4x -10 + 4x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 4x = -18 + 0 -10 + 4x = -18 Add '10' to each side of the equation. -10 + 10 + 4x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -18 + 10 4x = -18 + 10 Combine like terms: -18 + 10 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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