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Simplifying 7 + 5(x + -8) = 6(x + -9) Reorder the terms: 7 + 5(-8 + x) = 6(x + -9) 7 + (-8 * 5 + x * 5) = 6(x + -9) 7 + (-40 + 5x) = 6(x + -9) Combine like terms: 7 + -40 = -33 -33 + 5x = 6(x + -9) Reorder the terms: -33 + 5x = 6(-9 + x) -33 + 5x = (-9 * 6 + x * 6) -33 + 5x = (-54 + 6x) Solving -33 + 5x = -54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -33 + 5x + -6x = -54 + 6x + -6x Combine like terms: 5x + -6x = -1x -33 + -1x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -33 + -1x = -54 + 0 -33 + -1x = -54 Add '33' to each side of the equation. -33 + 33 + -1x = -54 + 33 Combine like terms: -33 + 33 = 0 0 + -1x = -54 + 33 -1x = -54 + 33 Combine like terms: -54 + 33 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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