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Simplifying 8(3x + -5) = 7(x + -5) + 9 Reorder the terms: 8(-5 + 3x) = 7(x + -5) + 9 (-5 * 8 + 3x * 8) = 7(x + -5) + 9 (-40 + 24x) = 7(x + -5) + 9 Reorder the terms: -40 + 24x = 7(-5 + x) + 9 -40 + 24x = (-5 * 7 + x * 7) + 9 -40 + 24x = (-35 + 7x) + 9 Reorder the terms: -40 + 24x = -35 + 9 + 7x Combine like terms: -35 + 9 = -26 -40 + 24x = -26 + 7x Solving -40 + 24x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 24x + -7x = -26 + 7x + -7x Combine like terms: 24x + -7x = 17x -40 + 17x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 17x = -26 + 0 -40 + 17x = -26 Add '40' to each side of the equation. -40 + 40 + 17x = -26 + 40 Combine like terms: -40 + 40 = 0 0 + 17x = -26 + 40 17x = -26 + 40 Combine like terms: -26 + 40 = 14 17x = 14 Divide each side by '17'. x = 0.8235294118 Simplifying x = 0.8235294118
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