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Simplifying 5x + -7 = 3(2x + -3) Reorder the terms: -7 + 5x = 3(2x + -3) Reorder the terms: -7 + 5x = 3(-3 + 2x) -7 + 5x = (-3 * 3 + 2x * 3) -7 + 5x = (-9 + 6x) Solving -7 + 5x = -9 + 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. -7 + 5x + -6x = -9 + 6x + -6x Combine like terms: 5x + -6x = -1x -7 + -1x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -1x = -9 + 0 -7 + -1x = -9 Add '7' to each side of the equation. -7 + 7 + -1x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -9 + 7 -1x = -9 + 7 Combine like terms: -9 + 7 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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