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Simplifying 9x + -5 = 4(2x + 3) + -7 Reorder the terms: -5 + 9x = 4(2x + 3) + -7 Reorder the terms: -5 + 9x = 4(3 + 2x) + -7 -5 + 9x = (3 * 4 + 2x * 4) + -7 -5 + 9x = (12 + 8x) + -7 Reorder the terms: -5 + 9x = 12 + -7 + 8x Combine like terms: 12 + -7 = 5 -5 + 9x = 5 + 8x Solving -5 + 9x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x -5 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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