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Simplifying (x + -3)(x + -3) + -1x(x + -4) = 7x + 18 Reorder the terms: (-3 + x)(x + -3) + -1x(x + -4) = 7x + 18 Reorder the terms: (-3 + x)(-3 + x) + -1x(x + -4) = 7x + 18 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + -1x(x + -4) = 7x + 18 ((-3 * -3 + x * -3) + x(-3 + x)) + -1x(x + -4) = 7x + 18 ((9 + -3x) + x(-3 + x)) + -1x(x + -4) = 7x + 18 (9 + -3x + (-3 * x + x * x)) + -1x(x + -4) = 7x + 18 (9 + -3x + (-3x + x2)) + -1x(x + -4) = 7x + 18 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + -1x(x + -4) = 7x + 18 Reorder the terms: 9 + -6x + x2 + -1x(-4 + x) = 7x + 18 9 + -6x + x2 + (-4 * -1x + x * -1x) = 7x + 18 9 + -6x + x2 + (4x + -1x2) = 7x + 18 Reorder the terms: 9 + -6x + 4x + x2 + -1x2 = 7x + 18 Combine like terms: -6x + 4x = -2x 9 + -2x + x2 + -1x2 = 7x + 18 Combine like terms: x2 + -1x2 = 0 9 + -2x + 0 = 7x + 18 9 + -2x = 7x + 18 Reorder the terms: 9 + -2x = 18 + 7x Solving 9 + -2x = 18 + 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. 9 + -2x + -7x = 18 + 7x + -7x Combine like terms: -2x + -7x = -9x 9 + -9x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -9x = 18 + 0 9 + -9x = 18 Add '-9' to each side of the equation. 9 + -9 + -9x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 18 + -9 -9x = 18 + -9 Combine like terms: 18 + -9 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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