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Simplifying 7 + -9(x + -5) + -7 = 7x + 3(9 + -3x) + -81 Reorder the terms: 7 + -9(-5 + x) + -7 = 7x + 3(9 + -3x) + -81 7 + (-5 * -9 + x * -9) + -7 = 7x + 3(9 + -3x) + -81 7 + (45 + -9x) + -7 = 7x + 3(9 + -3x) + -81 Reorder the terms: 7 + 45 + -7 + -9x = 7x + 3(9 + -3x) + -81 Combine like terms: 7 + 45 = 52 52 + -7 + -9x = 7x + 3(9 + -3x) + -81 Combine like terms: 52 + -7 = 45 45 + -9x = 7x + 3(9 + -3x) + -81 45 + -9x = 7x + (9 * 3 + -3x * 3) + -81 45 + -9x = 7x + (27 + -9x) + -81 Reorder the terms: 45 + -9x = 27 + -81 + 7x + -9x Combine like terms: 27 + -81 = -54 45 + -9x = -54 + 7x + -9x Combine like terms: 7x + -9x = -2x 45 + -9x = -54 + -2x Solving 45 + -9x = -54 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + -9x + 2x = -54 + -2x + 2x Combine like terms: -9x + 2x = -7x 45 + -7x = -54 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + -7x = -54 + 0 45 + -7x = -54 Add '-45' to each side of the equation. 45 + -45 + -7x = -54 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = -54 + -45 -7x = -54 + -45 Combine like terms: -54 + -45 = -99 -7x = -99 Divide each side by '-7'. x = 14.14285714 Simplifying x = 14.14285714
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