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Simplifying 4(x + -3) = -4(4x + -2) Reorder the terms: 4(-3 + x) = -4(4x + -2) (-3 * 4 + x * 4) = -4(4x + -2) (-12 + 4x) = -4(4x + -2) Reorder the terms: -12 + 4x = -4(-2 + 4x) -12 + 4x = (-2 * -4 + 4x * -4) -12 + 4x = (8 + -16x) Solving -12 + 4x = 8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -12 + 4x + 16x = 8 + -16x + 16x Combine like terms: 4x + 16x = 20x -12 + 20x = 8 + -16x + 16x Combine like terms: -16x + 16x = 0 -12 + 20x = 8 + 0 -12 + 20x = 8 Add '12' to each side of the equation. -12 + 12 + 20x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 8 + 12 20x = 8 + 12 Combine like terms: 8 + 12 = 20 20x = 20 Divide each side by '20'. x = 1 Simplifying x = 1
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