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Simplifying 5(x + -2) + 3(x + 2) = 2x + -4(6 + -1x) Reorder the terms: 5(-2 + x) + 3(x + 2) = 2x + -4(6 + -1x) (-2 * 5 + x * 5) + 3(x + 2) = 2x + -4(6 + -1x) (-10 + 5x) + 3(x + 2) = 2x + -4(6 + -1x) Reorder the terms: -10 + 5x + 3(2 + x) = 2x + -4(6 + -1x) -10 + 5x + (2 * 3 + x * 3) = 2x + -4(6 + -1x) -10 + 5x + (6 + 3x) = 2x + -4(6 + -1x) Reorder the terms: -10 + 6 + 5x + 3x = 2x + -4(6 + -1x) Combine like terms: -10 + 6 = -4 -4 + 5x + 3x = 2x + -4(6 + -1x) Combine like terms: 5x + 3x = 8x -4 + 8x = 2x + -4(6 + -1x) -4 + 8x = 2x + (6 * -4 + -1x * -4) -4 + 8x = 2x + (-24 + 4x) Reorder the terms: -4 + 8x = -24 + 2x + 4x Combine like terms: 2x + 4x = 6x -4 + 8x = -24 + 6x Solving -4 + 8x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 8x + -6x = -24 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = -24 + 0 -4 + 2x = -24 Add '4' to each side of the equation. -4 + 4 + 2x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -24 + 4 2x = -24 + 4 Combine like terms: -24 + 4 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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