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Simplifying 4(x + -2) + -4 = -4(-5 + 1) + -2x Reorder the terms: 4(-2 + x) + -4 = -4(-5 + 1) + -2x (-2 * 4 + x * 4) + -4 = -4(-5 + 1) + -2x (-8 + 4x) + -4 = -4(-5 + 1) + -2x Reorder the terms: -8 + -4 + 4x = -4(-5 + 1) + -2x Combine like terms: -8 + -4 = -12 -12 + 4x = -4(-5 + 1) + -2x Combine like terms: -5 + 1 = -4 -12 + 4x = -4(-4) + -2x Multiply -4 * -4 -12 + 4x = 16 + -2x Solving -12 + 4x = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 4x + 2x = 16 + -2x + 2x Combine like terms: 4x + 2x = 6x -12 + 6x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 6x = 16 + 0 -12 + 6x = 16 Add '12' to each side of the equation. -12 + 12 + 6x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 16 + 12 6x = 16 + 12 Combine like terms: 16 + 12 = 28 6x = 28 Divide each side by '6'. x = 4.666666667 Simplifying x = 4.666666667
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