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Simplifying (2x + -7) = 5(x + -3) Reorder the terms: (-7 + 2x) = 5(x + -3) Remove parenthesis around (-7 + 2x) -7 + 2x = 5(x + -3) Reorder the terms: -7 + 2x = 5(-3 + x) -7 + 2x = (-3 * 5 + x * 5) -7 + 2x = (-15 + 5x) Solving -7 + 2x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 2x + -5x = -15 + 5x + -5x Combine like terms: 2x + -5x = -3x -7 + -3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -3x = -15 + 0 -7 + -3x = -15 Add '7' to each side of the equation. -7 + 7 + -3x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -15 + 7 -3x = -15 + 7 Combine like terms: -15 + 7 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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