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Simplifying 2(3x + -10) = 4(2x + 6) Reorder the terms: 2(-10 + 3x) = 4(2x + 6) (-10 * 2 + 3x * 2) = 4(2x + 6) (-20 + 6x) = 4(2x + 6) Reorder the terms: -20 + 6x = 4(6 + 2x) -20 + 6x = (6 * 4 + 2x * 4) -20 + 6x = (24 + 8x) Solving -20 + 6x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 6x + -8x = 24 + 8x + -8x Combine like terms: 6x + -8x = -2x -20 + -2x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -2x = 24 + 0 -20 + -2x = 24 Add '20' to each side of the equation. -20 + 20 + -2x = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 24 + 20 -2x = 24 + 20 Combine like terms: 24 + 20 = 44 -2x = 44 Divide each side by '-2'. x = -22 Simplifying x = -22
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