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Simplifying 8(x + -3) + -2(x + 5) = 2x + 2 Reorder the terms: 8(-3 + x) + -2(x + 5) = 2x + 2 (-3 * 8 + x * 8) + -2(x + 5) = 2x + 2 (-24 + 8x) + -2(x + 5) = 2x + 2 Reorder the terms: -24 + 8x + -2(5 + x) = 2x + 2 -24 + 8x + (5 * -2 + x * -2) = 2x + 2 -24 + 8x + (-10 + -2x) = 2x + 2 Reorder the terms: -24 + -10 + 8x + -2x = 2x + 2 Combine like terms: -24 + -10 = -34 -34 + 8x + -2x = 2x + 2 Combine like terms: 8x + -2x = 6x -34 + 6x = 2x + 2 Reorder the terms: -34 + 6x = 2 + 2x Solving -34 + 6x = 2 + 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. -34 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x -34 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 4x = 2 + 0 -34 + 4x = 2 Add '34' to each side of the equation. -34 + 34 + 4x = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 2 + 34 4x = 2 + 34 Combine like terms: 2 + 34 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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