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Simplifying 2(x + -4) = 5[r + (-7)] Reorder the terms: 2(-4 + x) = 5[r + (-7)] (-4 * 2 + x * 2) = 5[r + (-7)] (-8 + 2x) = 5[r + (-7)] -8 + 2x = 5[r + -7] Reorder the terms: -8 + 2x = 5[-7 + r] -8 + 2x = [-7 * 5 + r * 5] -8 + 2x = [-35 + 5r] Solving -8 + 2x = -35 + 5r Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = -35 + 8 + 5r Combine like terms: -8 + 8 = 0 0 + 2x = -35 + 8 + 5r 2x = -35 + 8 + 5r Combine like terms: -35 + 8 = -27 2x = -27 + 5r Divide each side by '2'. x = -13.5 + 2.5r Simplifying x = -13.5 + 2.5r
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