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Simplifying 4x + -1 = 2(x + -5) + 43 + -3x Reorder the terms: -1 + 4x = 2(x + -5) + 43 + -3x Reorder the terms: -1 + 4x = 2(-5 + x) + 43 + -3x -1 + 4x = (-5 * 2 + x * 2) + 43 + -3x -1 + 4x = (-10 + 2x) + 43 + -3x Reorder the terms: -1 + 4x = -10 + 43 + 2x + -3x Combine like terms: -10 + 43 = 33 -1 + 4x = 33 + 2x + -3x Combine like terms: 2x + -3x = -1x -1 + 4x = 33 + -1x Solving -1 + 4x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 4x + x = 33 + -1x + x Combine like terms: 4x + x = 5x -1 + 5x = 33 + -1x + x Combine like terms: -1x + x = 0 -1 + 5x = 33 + 0 -1 + 5x = 33 Add '1' to each side of the equation. -1 + 1 + 5x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 33 + 1 5x = 33 + 1 Combine like terms: 33 + 1 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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