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Simplifying 9x + -13 = 4(2x + 4) + -3 Reorder the terms: -13 + 9x = 4(2x + 4) + -3 Reorder the terms: -13 + 9x = 4(4 + 2x) + -3 -13 + 9x = (4 * 4 + 2x * 4) + -3 -13 + 9x = (16 + 8x) + -3 Reorder the terms: -13 + 9x = 16 + -3 + 8x Combine like terms: 16 + -3 = 13 -13 + 9x = 13 + 8x Solving -13 + 9x = 13 + 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. -13 + 9x + -8x = 13 + 8x + -8x Combine like terms: 9x + -8x = 1x -13 + 1x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + 1x = 13 + 0 -13 + 1x = 13 Add '13' to each side of the equation. -13 + 13 + 1x = 13 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 13 + 13 1x = 13 + 13 Combine like terms: 13 + 13 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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