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Simplifying 2 + 2(3x + -2) = 5(2x + 1) Reorder the terms: 2 + 2(-2 + 3x) = 5(2x + 1) 2 + (-2 * 2 + 3x * 2) = 5(2x + 1) 2 + (-4 + 6x) = 5(2x + 1) Combine like terms: 2 + -4 = -2 -2 + 6x = 5(2x + 1) Reorder the terms: -2 + 6x = 5(1 + 2x) -2 + 6x = (1 * 5 + 2x * 5) -2 + 6x = (5 + 10x) Solving -2 + 6x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2 + 6x + -10x = 5 + 10x + -10x Combine like terms: 6x + -10x = -4x -2 + -4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -4x = 5 + 0 -2 + -4x = 5 Add '2' to each side of the equation. -2 + 2 + -4x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 5 + 2 -4x = 5 + 2 Combine like terms: 5 + 2 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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