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Simplifying 4(-6x) + -2(3 + -1x) + -5 = 9(5 + -2x) Remove parenthesis around (-6x) 4 * -6x + -2(3 + -1x) + -5 = 9(5 + -2x) Multiply 4 * -6 -24x + -2(3 + -1x) + -5 = 9(5 + -2x) -24x + (3 * -2 + -1x * -2) + -5 = 9(5 + -2x) -24x + (-6 + 2x) + -5 = 9(5 + -2x) Reorder the terms: -6 + -5 + -24x + 2x = 9(5 + -2x) Combine like terms: -6 + -5 = -11 -11 + -24x + 2x = 9(5 + -2x) Combine like terms: -24x + 2x = -22x -11 + -22x = 9(5 + -2x) -11 + -22x = (5 * 9 + -2x * 9) -11 + -22x = (45 + -18x) Solving -11 + -22x = 45 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -11 + -22x + 18x = 45 + -18x + 18x Combine like terms: -22x + 18x = -4x -11 + -4x = 45 + -18x + 18x Combine like terms: -18x + 18x = 0 -11 + -4x = 45 + 0 -11 + -4x = 45 Add '11' to each side of the equation. -11 + 11 + -4x = 45 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 45 + 11 -4x = 45 + 11 Combine like terms: 45 + 11 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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