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Simplifying 5x + -1(3x + -7) + 10 = 3x + 5 + 4x Reorder the terms: 5x + -1(-7 + 3x) + 10 = 3x + 5 + 4x 5x + (-7 * -1 + 3x * -1) + 10 = 3x + 5 + 4x 5x + (7 + -3x) + 10 = 3x + 5 + 4x Reorder the terms: 7 + 10 + 5x + -3x = 3x + 5 + 4x Combine like terms: 7 + 10 = 17 17 + 5x + -3x = 3x + 5 + 4x Combine like terms: 5x + -3x = 2x 17 + 2x = 3x + 5 + 4x Reorder the terms: 17 + 2x = 5 + 3x + 4x Combine like terms: 3x + 4x = 7x 17 + 2x = 5 + 7x Solving 17 + 2x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 2x + -7x = 5 + 7x + -7x Combine like terms: 2x + -7x = -5x 17 + -5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -5x = 5 + 0 17 + -5x = 5 Add '-17' to each side of the equation. 17 + -17 + -5x = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 5 + -17 -5x = 5 + -17 Combine like terms: 5 + -17 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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