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Simplifying 5(3x + -4 + 2x) + 4x + -2 = 4 + 3 + -2x Reorder the terms: 5(-4 + 3x + 2x) + 4x + -2 = 4 + 3 + -2x Combine like terms: 3x + 2x = 5x 5(-4 + 5x) + 4x + -2 = 4 + 3 + -2x (-4 * 5 + 5x * 5) + 4x + -2 = 4 + 3 + -2x (-20 + 25x) + 4x + -2 = 4 + 3 + -2x Reorder the terms: -20 + -2 + 25x + 4x = 4 + 3 + -2x Combine like terms: -20 + -2 = -22 -22 + 25x + 4x = 4 + 3 + -2x Combine like terms: 25x + 4x = 29x -22 + 29x = 4 + 3 + -2x Combine like terms: 4 + 3 = 7 -22 + 29x = 7 + -2x Solving -22 + 29x = 7 + -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. -22 + 29x + 2x = 7 + -2x + 2x Combine like terms: 29x + 2x = 31x -22 + 31x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -22 + 31x = 7 + 0 -22 + 31x = 7 Add '22' to each side of the equation. -22 + 22 + 31x = 7 + 22 Combine like terms: -22 + 22 = 0 0 + 31x = 7 + 22 31x = 7 + 22 Combine like terms: 7 + 22 = 29 31x = 29 Divide each side by '31'. x = 0.935483871 Simplifying x = 0.935483871
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