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Simplifying 14 + -5(2 + -2x) = 4(2x + -3) 14 + (2 * -5 + -2x * -5) = 4(2x + -3) 14 + (-10 + 10x) = 4(2x + -3) Combine like terms: 14 + -10 = 4 4 + 10x = 4(2x + -3) Reorder the terms: 4 + 10x = 4(-3 + 2x) 4 + 10x = (-3 * 4 + 2x * 4) 4 + 10x = (-12 + 8x) Solving 4 + 10x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 10x + -8x = -12 + 8x + -8x Combine like terms: 10x + -8x = 2x 4 + 2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 2x = -12 + 0 4 + 2x = -12 Add '-4' to each side of the equation. 4 + -4 + 2x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -12 + -4 2x = -12 + -4 Combine like terms: -12 + -4 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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