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Simplifying 7 + 5(x + -9) = 11 + -2(x + -4) Reorder the terms: 7 + 5(-9 + x) = 11 + -2(x + -4) 7 + (-9 * 5 + x * 5) = 11 + -2(x + -4) 7 + (-45 + 5x) = 11 + -2(x + -4) Combine like terms: 7 + -45 = -38 -38 + 5x = 11 + -2(x + -4) Reorder the terms: -38 + 5x = 11 + -2(-4 + x) -38 + 5x = 11 + (-4 * -2 + x * -2) -38 + 5x = 11 + (8 + -2x) Combine like terms: 11 + 8 = 19 -38 + 5x = 19 + -2x Solving -38 + 5x = 19 + -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. -38 + 5x + 2x = 19 + -2x + 2x Combine like terms: 5x + 2x = 7x -38 + 7x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 7x = 19 + 0 -38 + 7x = 19 Add '38' to each side of the equation. -38 + 38 + 7x = 19 + 38 Combine like terms: -38 + 38 = 0 0 + 7x = 19 + 38 7x = 19 + 38 Combine like terms: 19 + 38 = 57 7x = 57 Divide each side by '7'. x = 8.142857143 Simplifying x = 8.142857143
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