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Simplifying 9(3x + -5) + -3 = 6(4x + 5) Reorder the terms: 9(-5 + 3x) + -3 = 6(4x + 5) (-5 * 9 + 3x * 9) + -3 = 6(4x + 5) (-45 + 27x) + -3 = 6(4x + 5) Reorder the terms: -45 + -3 + 27x = 6(4x + 5) Combine like terms: -45 + -3 = -48 -48 + 27x = 6(4x + 5) Reorder the terms: -48 + 27x = 6(5 + 4x) -48 + 27x = (5 * 6 + 4x * 6) -48 + 27x = (30 + 24x) Solving -48 + 27x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -48 + 27x + -24x = 30 + 24x + -24x Combine like terms: 27x + -24x = 3x -48 + 3x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 -48 + 3x = 30 + 0 -48 + 3x = 30 Add '48' to each side of the equation. -48 + 48 + 3x = 30 + 48 Combine like terms: -48 + 48 = 0 0 + 3x = 30 + 48 3x = 30 + 48 Combine like terms: 30 + 48 = 78 3x = 78 Divide each side by '3'. x = 26 Simplifying x = 26
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