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Simplifying 4(5x + -2) + 6 = 2(2x + -3) + -6x Reorder the terms: 4(-2 + 5x) + 6 = 2(2x + -3) + -6x (-2 * 4 + 5x * 4) + 6 = 2(2x + -3) + -6x (-8 + 20x) + 6 = 2(2x + -3) + -6x Reorder the terms: -8 + 6 + 20x = 2(2x + -3) + -6x Combine like terms: -8 + 6 = -2 -2 + 20x = 2(2x + -3) + -6x Reorder the terms: -2 + 20x = 2(-3 + 2x) + -6x -2 + 20x = (-3 * 2 + 2x * 2) + -6x -2 + 20x = (-6 + 4x) + -6x Combine like terms: 4x + -6x = -2x -2 + 20x = -6 + -2x Solving -2 + 20x = -6 + -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. -2 + 20x + 2x = -6 + -2x + 2x Combine like terms: 20x + 2x = 22x -2 + 22x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 22x = -6 + 0 -2 + 22x = -6 Add '2' to each side of the equation. -2 + 2 + 22x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 22x = -6 + 2 22x = -6 + 2 Combine like terms: -6 + 2 = -4 22x = -4 Divide each side by '22'. x = -0.1818181818 Simplifying x = -0.1818181818
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