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Simplifying 5(x + -4) + x + -4 = 2x + 2(8) Reorder the terms: 5(-4 + x) + x + -4 = 2x + 2(8) (-4 * 5 + x * 5) + x + -4 = 2x + 2(8) (-20 + 5x) + x + -4 = 2x + 2(8) Reorder the terms: -20 + -4 + 5x + x = 2x + 2(8) Combine like terms: -20 + -4 = -24 -24 + 5x + x = 2x + 2(8) Combine like terms: 5x + x = 6x -24 + 6x = 2x + 2(8) Multiply 2 * 8 -24 + 6x = 2x + 16 Reorder the terms: -24 + 6x = 16 + 2x Solving -24 + 6x = 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. -24 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 16 + 0 -24 + 4x = 16 Add '24' to each side of the equation. -24 + 24 + 4x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 16 + 24 4x = 16 + 24 Combine like terms: 16 + 24 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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