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Simplifying 5x + 3(x + 4) = 9x + -3 + -6x Reorder the terms: 5x + 3(4 + x) = 9x + -3 + -6x 5x + (4 * 3 + x * 3) = 9x + -3 + -6x 5x + (12 + 3x) = 9x + -3 + -6x Reorder the terms: 12 + 5x + 3x = 9x + -3 + -6x Combine like terms: 5x + 3x = 8x 12 + 8x = 9x + -3 + -6x Reorder the terms: 12 + 8x = -3 + 9x + -6x Combine like terms: 9x + -6x = 3x 12 + 8x = -3 + 3x Solving 12 + 8x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 8x + -3x = -3 + 3x + -3x Combine like terms: 8x + -3x = 5x 12 + 5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 5x = -3 + 0 12 + 5x = -3 Add '-12' to each side of the equation. 12 + -12 + 5x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = -3 + -12 5x = -3 + -12 Combine like terms: -3 + -12 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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