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Simplifying 4(6x + -1x) + -2(3 + -1x) + -5 = 9(5 + -2x) Combine like terms: 6x + -1x = 5x 4(5x) + -2(3 + -1x) + -5 = 9(5 + -2x) Remove parenthesis around (5x) 4 * 5x + -2(3 + -1x) + -5 = 9(5 + -2x) Multiply 4 * 5 20x + -2(3 + -1x) + -5 = 9(5 + -2x) 20x + (3 * -2 + -1x * -2) + -5 = 9(5 + -2x) 20x + (-6 + 2x) + -5 = 9(5 + -2x) Reorder the terms: -6 + -5 + 20x + 2x = 9(5 + -2x) Combine like terms: -6 + -5 = -11 -11 + 20x + 2x = 9(5 + -2x) Combine like terms: 20x + 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 = 40x -11 + 40x = 45 + -18x + 18x Combine like terms: -18x + 18x = 0 -11 + 40x = 45 + 0 -11 + 40x = 45 Add '11' to each side of the equation. -11 + 11 + 40x = 45 + 11 Combine like terms: -11 + 11 = 0 0 + 40x = 45 + 11 40x = 45 + 11 Combine like terms: 45 + 11 = 56 40x = 56 Divide each side by '40'. x = 1.4 Simplifying x = 1.4
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