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Simplifying 8x + 3 = 9(x + -5) Reorder the terms: 3 + 8x = 9(x + -5) Reorder the terms: 3 + 8x = 9(-5 + x) 3 + 8x = (-5 * 9 + x * 9) 3 + 8x = (-45 + 9x) Solving 3 + 8x = -45 + 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. 3 + 8x + -9x = -45 + 9x + -9x Combine like terms: 8x + -9x = -1x 3 + -1x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -1x = -45 + 0 3 + -1x = -45 Add '-3' to each side of the equation. 3 + -3 + -1x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -45 + -3 -1x = -45 + -3 Combine like terms: -45 + -3 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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