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Simplifying 2(4x + -5) + 4 = -3(4 + -2x) Reorder the terms: 2(-5 + 4x) + 4 = -3(4 + -2x) (-5 * 2 + 4x * 2) + 4 = -3(4 + -2x) (-10 + 8x) + 4 = -3(4 + -2x) Reorder the terms: -10 + 4 + 8x = -3(4 + -2x) Combine like terms: -10 + 4 = -6 -6 + 8x = -3(4 + -2x) -6 + 8x = (4 * -3 + -2x * -3) -6 + 8x = (-12 + 6x) Solving -6 + 8x = -12 + 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. -6 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = -12 + 0 -6 + 2x = -12 Add '6' to each side of the equation. -6 + 6 + 2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -12 + 6 2x = -12 + 6 Combine like terms: -12 + 6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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