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Simplifying 5x + -17 = 3(2x + -7) Reorder the terms: -17 + 5x = 3(2x + -7) Reorder the terms: -17 + 5x = 3(-7 + 2x) -17 + 5x = (-7 * 3 + 2x * 3) -17 + 5x = (-21 + 6x) Solving -17 + 5x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 5x + -6x = -21 + 6x + -6x Combine like terms: 5x + -6x = -1x -17 + -1x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + -1x = -21 + 0 -17 + -1x = -21 Add '17' to each side of the equation. -17 + 17 + -1x = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -21 + 17 -1x = -21 + 17 Combine like terms: -21 + 17 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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