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Simplifying 9 + 6(3x + -4) = 15 + -2(2x + -2) Reorder the terms: 9 + 6(-4 + 3x) = 15 + -2(2x + -2) 9 + (-4 * 6 + 3x * 6) = 15 + -2(2x + -2) 9 + (-24 + 18x) = 15 + -2(2x + -2) Combine like terms: 9 + -24 = -15 -15 + 18x = 15 + -2(2x + -2) Reorder the terms: -15 + 18x = 15 + -2(-2 + 2x) -15 + 18x = 15 + (-2 * -2 + 2x * -2) -15 + 18x = 15 + (4 + -4x) Combine like terms: 15 + 4 = 19 -15 + 18x = 19 + -4x Solving -15 + 18x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 18x + 4x = 19 + -4x + 4x Combine like terms: 18x + 4x = 22x -15 + 22x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 22x = 19 + 0 -15 + 22x = 19 Add '15' to each side of the equation. -15 + 15 + 22x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 22x = 19 + 15 22x = 19 + 15 Combine like terms: 19 + 15 = 34 22x = 34 Divide each side by '22'. x = 1.545454545 Simplifying x = 1.545454545
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