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Simplifying 8(x + 1) = 3(3x + -5) Reorder the terms: 8(1 + x) = 3(3x + -5) (1 * 8 + x * 8) = 3(3x + -5) (8 + 8x) = 3(3x + -5) Reorder the terms: 8 + 8x = 3(-5 + 3x) 8 + 8x = (-5 * 3 + 3x * 3) 8 + 8x = (-15 + 9x) Solving 8 + 8x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 8x + -9x = -15 + 9x + -9x Combine like terms: 8x + -9x = -1x 8 + -1x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -1x = -15 + 0 8 + -1x = -15 Add '-8' to each side of the equation. 8 + -8 + -1x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -15 + -8 -1x = -15 + -8 Combine like terms: -15 + -8 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23
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