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Simplifying 5(x + -2) + 3(1 + -2x) = 6 Reorder the terms: 5(-2 + x) + 3(1 + -2x) = 6 (-2 * 5 + x * 5) + 3(1 + -2x) = 6 (-10 + 5x) + 3(1 + -2x) = 6 -10 + 5x + (1 * 3 + -2x * 3) = 6 -10 + 5x + (3 + -6x) = 6 Reorder the terms: -10 + 3 + 5x + -6x = 6 Combine like terms: -10 + 3 = -7 -7 + 5x + -6x = 6 Combine like terms: 5x + -6x = -1x -7 + -1x = 6 Solving -7 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 6 + 7 -1x = 6 + 7 Combine like terms: 6 + 7 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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