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Simplifying 6x + 3(4 + -1x) = 5x + 9 6x + (4 * 3 + -1x * 3) = 5x + 9 6x + (12 + -3x) = 5x + 9 Reorder the terms: 12 + 6x + -3x = 5x + 9 Combine like terms: 6x + -3x = 3x 12 + 3x = 5x + 9 Reorder the terms: 12 + 3x = 9 + 5x Solving 12 + 3x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = 9 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 9 + 0 12 + -2x = 9 Add '-12' to each side of the equation. 12 + -12 + -2x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 9 + -12 -2x = 9 + -12 Combine like terms: 9 + -12 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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