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Simplifying 7(x + -8) + -4(1 + -2x) = x + 4 + x + 1 Reorder the terms: 7(-8 + x) + -4(1 + -2x) = x + 4 + x + 1 (-8 * 7 + x * 7) + -4(1 + -2x) = x + 4 + x + 1 (-56 + 7x) + -4(1 + -2x) = x + 4 + x + 1 -56 + 7x + (1 * -4 + -2x * -4) = x + 4 + x + 1 -56 + 7x + (-4 + 8x) = x + 4 + x + 1 Reorder the terms: -56 + -4 + 7x + 8x = x + 4 + x + 1 Combine like terms: -56 + -4 = -60 -60 + 7x + 8x = x + 4 + x + 1 Combine like terms: 7x + 8x = 15x -60 + 15x = x + 4 + x + 1 Reorder the terms: -60 + 15x = 4 + 1 + x + x Combine like terms: 4 + 1 = 5 -60 + 15x = 5 + x + x Combine like terms: x + x = 2x -60 + 15x = 5 + 2x Solving -60 + 15x = 5 + 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. -60 + 15x + -2x = 5 + 2x + -2x Combine like terms: 15x + -2x = 13x -60 + 13x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -60 + 13x = 5 + 0 -60 + 13x = 5 Add '60' to each side of the equation. -60 + 60 + 13x = 5 + 60 Combine like terms: -60 + 60 = 0 0 + 13x = 5 + 60 13x = 5 + 60 Combine like terms: 5 + 60 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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