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Simplifying 9x + -7 = 5(2x + -3) Reorder the terms: -7 + 9x = 5(2x + -3) Reorder the terms: -7 + 9x = 5(-3 + 2x) -7 + 9x = (-3 * 5 + 2x * 5) -7 + 9x = (-15 + 10x) Solving -7 + 9x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 9x + -10x = -15 + 10x + -10x Combine like terms: 9x + -10x = -1x -7 + -1x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -1x = -15 + 0 -7 + -1x = -15 Add '7' to each side of the equation. -7 + 7 + -1x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -15 + 7 -1x = -15 + 7 Combine like terms: -15 + 7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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