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Simplifying 2(5x + -2) = 3(4x + 1) Reorder the terms: 2(-2 + 5x) = 3(4x + 1) (-2 * 2 + 5x * 2) = 3(4x + 1) (-4 + 10x) = 3(4x + 1) Reorder the terms: -4 + 10x = 3(1 + 4x) -4 + 10x = (1 * 3 + 4x * 3) -4 + 10x = (3 + 12x) Solving -4 + 10x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 10x + -12x = 3 + 12x + -12x Combine like terms: 10x + -12x = -2x -4 + -2x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -2x = 3 + 0 -4 + -2x = 3 Add '4' to each side of the equation. -4 + 4 + -2x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 3 + 4 -2x = 3 + 4 Combine like terms: 3 + 4 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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