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Simplifying -18 = -6(x + -2) + 9(x + -5) Reorder the terms: -18 = -6(-2 + x) + 9(x + -5) -18 = (-2 * -6 + x * -6) + 9(x + -5) -18 = (12 + -6x) + 9(x + -5) Reorder the terms: -18 = 12 + -6x + 9(-5 + x) -18 = 12 + -6x + (-5 * 9 + x * 9) -18 = 12 + -6x + (-45 + 9x) Reorder the terms: -18 = 12 + -45 + -6x + 9x Combine like terms: 12 + -45 = -33 -18 = -33 + -6x + 9x Combine like terms: -6x + 9x = 3x -18 = -33 + 3x Solving -18 = -33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -3x = -33 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -3x = -33 + 0 -18 + -3x = -33 Add '18' to each side of the equation. -18 + 18 + -3x = -33 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -33 + 18 -3x = -33 + 18 Combine like terms: -33 + 18 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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