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Simplifying 5(x + 7) + -2x = 6x + 3(x + -2) Reorder the terms: 5(7 + x) + -2x = 6x + 3(x + -2) (7 * 5 + x * 5) + -2x = 6x + 3(x + -2) (35 + 5x) + -2x = 6x + 3(x + -2) Combine like terms: 5x + -2x = 3x 35 + 3x = 6x + 3(x + -2) Reorder the terms: 35 + 3x = 6x + 3(-2 + x) 35 + 3x = 6x + (-2 * 3 + x * 3) 35 + 3x = 6x + (-6 + 3x) Reorder the terms: 35 + 3x = -6 + 6x + 3x Combine like terms: 6x + 3x = 9x 35 + 3x = -6 + 9x Solving 35 + 3x = -6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 3x + -9x = -6 + 9x + -9x Combine like terms: 3x + -9x = -6x 35 + -6x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -6x = -6 + 0 35 + -6x = -6 Add '-35' to each side of the equation. 35 + -35 + -6x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -6x = -6 + -35 -6x = -6 + -35 Combine like terms: -6 + -35 = -41 -6x = -41 Divide each side by '-6'. x = 6.833333333 Simplifying x = 6.833333333
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