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Simplifying 2(3x + 5) = 4(2x + -3) + -4(2x + -1) Reorder the terms: 2(5 + 3x) = 4(2x + -3) + -4(2x + -1) (5 * 2 + 3x * 2) = 4(2x + -3) + -4(2x + -1) (10 + 6x) = 4(2x + -3) + -4(2x + -1) Reorder the terms: 10 + 6x = 4(-3 + 2x) + -4(2x + -1) 10 + 6x = (-3 * 4 + 2x * 4) + -4(2x + -1) 10 + 6x = (-12 + 8x) + -4(2x + -1) Reorder the terms: 10 + 6x = -12 + 8x + -4(-1 + 2x) 10 + 6x = -12 + 8x + (-1 * -4 + 2x * -4) 10 + 6x = -12 + 8x + (4 + -8x) Reorder the terms: 10 + 6x = -12 + 4 + 8x + -8x Combine like terms: -12 + 4 = -8 10 + 6x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 6x = -8 + 0 10 + 6x = -8 Solving 10 + 6x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -8 + -10 6x = -8 + -10 Combine like terms: -8 + -10 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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