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