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Simplifying 4(2x + -4) = 7(x + 5) Reorder the terms: 4(-4 + 2x) = 7(x + 5) (-4 * 4 + 2x * 4) = 7(x + 5) (-16 + 8x) = 7(x + 5) Reorder the terms: -16 + 8x = 7(5 + x) -16 + 8x = (5 * 7 + x * 7) -16 + 8x = (35 + 7x) Solving -16 + 8x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 8x + -7x = 35 + 7x + -7x Combine like terms: 8x + -7x = 1x -16 + 1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + 1x = 35 + 0 -16 + 1x = 35 Add '16' to each side of the equation. -16 + 16 + 1x = 35 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 35 + 16 1x = 35 + 16 Combine like terms: 35 + 16 = 51 1x = 51 Divide each side by '1'. x = 51 Simplifying x = 51
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