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Simplifying 2(1 + -2x) + -5 = 6(x + -3) + -4x (1 * 2 + -2x * 2) + -5 = 6(x + -3) + -4x (2 + -4x) + -5 = 6(x + -3) + -4x Reorder the terms: 2 + -5 + -4x = 6(x + -3) + -4x Combine like terms: 2 + -5 = -3 -3 + -4x = 6(x + -3) + -4x Reorder the terms: -3 + -4x = 6(-3 + x) + -4x -3 + -4x = (-3 * 6 + x * 6) + -4x -3 + -4x = (-18 + 6x) + -4x Combine like terms: 6x + -4x = 2x -3 + -4x = -18 + 2x Solving -3 + -4x = -18 + 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. -3 + -4x + -2x = -18 + 2x + -2x Combine like terms: -4x + -2x = -6x -3 + -6x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -6x = -18 + 0 -3 + -6x = -18 Add '3' to each side of the equation. -3 + 3 + -6x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -18 + 3 -6x = -18 + 3 Combine like terms: -18 + 3 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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