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Simplifying 3(x + -2) = 1 + 4(5 + -2x) + 6x Reorder the terms: 3(-2 + x) = 1 + 4(5 + -2x) + 6x (-2 * 3 + x * 3) = 1 + 4(5 + -2x) + 6x (-6 + 3x) = 1 + 4(5 + -2x) + 6x -6 + 3x = 1 + (5 * 4 + -2x * 4) + 6x -6 + 3x = 1 + (20 + -8x) + 6x Combine like terms: 1 + 20 = 21 -6 + 3x = 21 + -8x + 6x Combine like terms: -8x + 6x = -2x -6 + 3x = 21 + -2x Solving -6 + 3x = 21 + -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. -6 + 3x + 2x = 21 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 21 + 0 -6 + 5x = 21 Add '6' to each side of the equation. -6 + 6 + 5x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 21 + 6 5x = 21 + 6 Combine like terms: 21 + 6 = 27 5x = 27 Divide each side by '5'. x = 5.4 Simplifying x = 5.4
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