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Simplifying 5x + -3(2x + -7) = 3x + -5(2x + -7) Reorder the terms: 5x + -3(-7 + 2x) = 3x + -5(2x + -7) 5x + (-7 * -3 + 2x * -3) = 3x + -5(2x + -7) 5x + (21 + -6x) = 3x + -5(2x + -7) Reorder the terms: 21 + 5x + -6x = 3x + -5(2x + -7) Combine like terms: 5x + -6x = -1x 21 + -1x = 3x + -5(2x + -7) Reorder the terms: 21 + -1x = 3x + -5(-7 + 2x) 21 + -1x = 3x + (-7 * -5 + 2x * -5) 21 + -1x = 3x + (35 + -10x) Reorder the terms: 21 + -1x = 35 + 3x + -10x Combine like terms: 3x + -10x = -7x 21 + -1x = 35 + -7x Solving 21 + -1x = 35 + -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. 21 + -1x + 7x = 35 + -7x + 7x Combine like terms: -1x + 7x = 6x 21 + 6x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 21 + 6x = 35 + 0 21 + 6x = 35 Add '-21' to each side of the equation. 21 + -21 + 6x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 35 + -21 6x = 35 + -21 Combine like terms: 35 + -21 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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