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Simplifying 4(2x + -4) + -2 = 4(x + -3) + 2 Reorder the terms: 4(-4 + 2x) + -2 = 4(x + -3) + 2 (-4 * 4 + 2x * 4) + -2 = 4(x + -3) + 2 (-16 + 8x) + -2 = 4(x + -3) + 2 Reorder the terms: -16 + -2 + 8x = 4(x + -3) + 2 Combine like terms: -16 + -2 = -18 -18 + 8x = 4(x + -3) + 2 Reorder the terms: -18 + 8x = 4(-3 + x) + 2 -18 + 8x = (-3 * 4 + x * 4) + 2 -18 + 8x = (-12 + 4x) + 2 Reorder the terms: -18 + 8x = -12 + 2 + 4x Combine like terms: -12 + 2 = -10 -18 + 8x = -10 + 4x Solving -18 + 8x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 8x + -4x = -10 + 4x + -4x Combine like terms: 8x + -4x = 4x -18 + 4x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 4x = -10 + 0 -18 + 4x = -10 Add '18' to each side of the equation. -18 + 18 + 4x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -10 + 18 4x = -10 + 18 Combine like terms: -10 + 18 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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