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Simplifying 5 + 9(x + -5) = 8 + -6(x + -8) Reorder the terms: 5 + 9(-5 + x) = 8 + -6(x + -8) 5 + (-5 * 9 + x * 9) = 8 + -6(x + -8) 5 + (-45 + 9x) = 8 + -6(x + -8) Combine like terms: 5 + -45 = -40 -40 + 9x = 8 + -6(x + -8) Reorder the terms: -40 + 9x = 8 + -6(-8 + x) -40 + 9x = 8 + (-8 * -6 + x * -6) -40 + 9x = 8 + (48 + -6x) Combine like terms: 8 + 48 = 56 -40 + 9x = 56 + -6x Solving -40 + 9x = 56 + -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. -40 + 9x + 6x = 56 + -6x + 6x Combine like terms: 9x + 6x = 15x -40 + 15x = 56 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 15x = 56 + 0 -40 + 15x = 56 Add '40' to each side of the equation. -40 + 40 + 15x = 56 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = 56 + 40 15x = 56 + 40 Combine like terms: 56 + 40 = 96 15x = 96 Divide each side by '15'. x = 6.4 Simplifying x = 6.4
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