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Simplifying 4(x + -7) + 2(x + 8) = 5x + -2 Reorder the terms: 4(-7 + x) + 2(x + 8) = 5x + -2 (-7 * 4 + x * 4) + 2(x + 8) = 5x + -2 (-28 + 4x) + 2(x + 8) = 5x + -2 Reorder the terms: -28 + 4x + 2(8 + x) = 5x + -2 -28 + 4x + (8 * 2 + x * 2) = 5x + -2 -28 + 4x + (16 + 2x) = 5x + -2 Reorder the terms: -28 + 16 + 4x + 2x = 5x + -2 Combine like terms: -28 + 16 = -12 -12 + 4x + 2x = 5x + -2 Combine like terms: 4x + 2x = 6x -12 + 6x = 5x + -2 Reorder the terms: -12 + 6x = -2 + 5x Solving -12 + 6x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -2 + 0 -12 + 1x = -2 Add '12' to each side of the equation. -12 + 12 + 1x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -2 + 12 1x = -2 + 12 Combine like terms: -2 + 12 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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