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Simplifying -40 + 23x + 25x + -17x = 19x + -28x + -30 + 32x + 24 Combine like terms: 23x + 25x = 48x -40 + 48x + -17x = 19x + -28x + -30 + 32x + 24 Combine like terms: 48x + -17x = 31x -40 + 31x = 19x + -28x + -30 + 32x + 24 Reorder the terms: -40 + 31x = -30 + 24 + 19x + -28x + 32x Combine like terms: -30 + 24 = -6 -40 + 31x = -6 + 19x + -28x + 32x Combine like terms: 19x + -28x = -9x -40 + 31x = -6 + -9x + 32x Combine like terms: -9x + 32x = 23x -40 + 31x = -6 + 23x Solving -40 + 31x = -6 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -40 + 31x + -23x = -6 + 23x + -23x Combine like terms: 31x + -23x = 8x -40 + 8x = -6 + 23x + -23x Combine like terms: 23x + -23x = 0 -40 + 8x = -6 + 0 -40 + 8x = -6 Add '40' to each side of the equation. -40 + 40 + 8x = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = -6 + 40 8x = -6 + 40 Combine like terms: -6 + 40 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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