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Simplifying 4(2x + -4) + -5 = 4(x + -3) + 7 Reorder the terms: 4(-4 + 2x) + -5 = 4(x + -3) + 7 (-4 * 4 + 2x * 4) + -5 = 4(x + -3) + 7 (-16 + 8x) + -5 = 4(x + -3) + 7 Reorder the terms: -16 + -5 + 8x = 4(x + -3) + 7 Combine like terms: -16 + -5 = -21 -21 + 8x = 4(x + -3) + 7 Reorder the terms: -21 + 8x = 4(-3 + x) + 7 -21 + 8x = (-3 * 4 + x * 4) + 7 -21 + 8x = (-12 + 4x) + 7 Reorder the terms: -21 + 8x = -12 + 7 + 4x Combine like terms: -12 + 7 = -5 -21 + 8x = -5 + 4x Solving -21 + 8x = -5 + 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. -21 + 8x + -4x = -5 + 4x + -4x Combine like terms: 8x + -4x = 4x -21 + 4x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 4x = -5 + 0 -21 + 4x = -5 Add '21' to each side of the equation. -21 + 21 + 4x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -5 + 21 4x = -5 + 21 Combine like terms: -5 + 21 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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