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Simplifying 3(x + 4) + -2x = 7x + 9 Reorder the terms: 3(4 + x) + -2x = 7x + 9 (4 * 3 + x * 3) + -2x = 7x + 9 (12 + 3x) + -2x = 7x + 9 Combine like terms: 3x + -2x = 1x 12 + 1x = 7x + 9 Reorder the terms: 12 + 1x = 9 + 7x Solving 12 + 1x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 1x + -7x = 9 + 7x + -7x Combine like terms: 1x + -7x = -6x 12 + -6x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -6x = 9 + 0 12 + -6x = 9 Add '-12' to each side of the equation. 12 + -12 + -6x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 9 + -12 -6x = 9 + -12 Combine like terms: 9 + -12 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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