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Simplifying 4 + 8(x + -5) = 5 + 9(x + -3) Reorder the terms: 4 + 8(-5 + x) = 5 + 9(x + -3) 4 + (-5 * 8 + x * 8) = 5 + 9(x + -3) 4 + (-40 + 8x) = 5 + 9(x + -3) Combine like terms: 4 + -40 = -36 -36 + 8x = 5 + 9(x + -3) Reorder the terms: -36 + 8x = 5 + 9(-3 + x) -36 + 8x = 5 + (-3 * 9 + x * 9) -36 + 8x = 5 + (-27 + 9x) Combine like terms: 5 + -27 = -22 -36 + 8x = -22 + 9x Solving -36 + 8x = -22 + 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. -36 + 8x + -9x = -22 + 9x + -9x Combine like terms: 8x + -9x = -1x -36 + -1x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + -1x = -22 + 0 -36 + -1x = -22 Add '36' to each side of the equation. -36 + 36 + -1x = -22 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -22 + 36 -1x = -22 + 36 Combine like terms: -22 + 36 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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