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Simplifying 10 + 2x + -4 + -5x = 3 + 4x + -7 Reorder the terms: 10 + -4 + 2x + -5x = 3 + 4x + -7 Combine like terms: 10 + -4 = 6 6 + 2x + -5x = 3 + 4x + -7 Combine like terms: 2x + -5x = -3x 6 + -3x = 3 + 4x + -7 Reorder the terms: 6 + -3x = 3 + -7 + 4x Combine like terms: 3 + -7 = -4 6 + -3x = -4 + 4x Solving 6 + -3x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -3x + -4x = -4 + 4x + -4x Combine like terms: -3x + -4x = -7x 6 + -7x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -7x = -4 + 0 6 + -7x = -4 Add '-6' to each side of the equation. 6 + -6 + -7x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -4 + -6 -7x = -4 + -6 Combine like terms: -4 + -6 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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