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Simplifying 5 + 7(x + -9) = 5 + -6(x + -5) Reorder the terms: 5 + 7(-9 + x) = 5 + -6(x + -5) 5 + (-9 * 7 + x * 7) = 5 + -6(x + -5) 5 + (-63 + 7x) = 5 + -6(x + -5) Combine like terms: 5 + -63 = -58 -58 + 7x = 5 + -6(x + -5) Reorder the terms: -58 + 7x = 5 + -6(-5 + x) -58 + 7x = 5 + (-5 * -6 + x * -6) -58 + 7x = 5 + (30 + -6x) Combine like terms: 5 + 30 = 35 -58 + 7x = 35 + -6x Solving -58 + 7x = 35 + -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. -58 + 7x + 6x = 35 + -6x + 6x Combine like terms: 7x + 6x = 13x -58 + 13x = 35 + -6x + 6x Combine like terms: -6x + 6x = 0 -58 + 13x = 35 + 0 -58 + 13x = 35 Add '58' to each side of the equation. -58 + 58 + 13x = 35 + 58 Combine like terms: -58 + 58 = 0 0 + 13x = 35 + 58 13x = 35 + 58 Combine like terms: 35 + 58 = 93 13x = 93 Divide each side by '13'. x = 7.153846154 Simplifying x = 7.153846154
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