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Simplifying 3x + -5x + 17 = 7(x + -3) Reorder the terms: 17 + 3x + -5x = 7(x + -3) Combine like terms: 3x + -5x = -2x 17 + -2x = 7(x + -3) Reorder the terms: 17 + -2x = 7(-3 + x) 17 + -2x = (-3 * 7 + x * 7) 17 + -2x = (-21 + 7x) Solving 17 + -2x = -21 + 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 = -21 + 7x + -7x Combine like terms: -2x + -7x = -9x 17 + -9x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -9x = -21 + 0 17 + -9x = -21 Add '-17' to each side of the equation. 17 + -17 + -9x = -21 + -17 Combine like terms: 17 + -17 = 0 0 + -9x = -21 + -17 -9x = -21 + -17 Combine like terms: -21 + -17 = -38 -9x = -38 Divide each side by '-9'. x = 4.222222222 Simplifying x = 4.222222222
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