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Simplifying 6(1.5x + -1) = 5(2.2x + 3) Reorder the terms: 6(-1 + 1.5x) = 5(2.2x + 3) (-1 * 6 + 1.5x * 6) = 5(2.2x + 3) (-6 + 9x) = 5(2.2x + 3) Reorder the terms: -6 + 9x = 5(3 + 2.2x) -6 + 9x = (3 * 5 + 2.2x * 5) -6 + 9x = (15 + 11x) Solving -6 + 9x = 15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 9x + -11x = 15 + 11x + -11x Combine like terms: 9x + -11x = -2x -6 + -2x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -2x = 15 + 0 -6 + -2x = 15 Add '6' to each side of the equation. -6 + 6 + -2x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 15 + 6 -2x = 15 + 6 Combine like terms: 15 + 6 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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