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Simplifying 7(x + 3) + 4(x + 3) = 6x + -6 Reorder the terms: 7(3 + x) + 4(x + 3) = 6x + -6 (3 * 7 + x * 7) + 4(x + 3) = 6x + -6 (21 + 7x) + 4(x + 3) = 6x + -6 Reorder the terms: 21 + 7x + 4(3 + x) = 6x + -6 21 + 7x + (3 * 4 + x * 4) = 6x + -6 21 + 7x + (12 + 4x) = 6x + -6 Reorder the terms: 21 + 12 + 7x + 4x = 6x + -6 Combine like terms: 21 + 12 = 33 33 + 7x + 4x = 6x + -6 Combine like terms: 7x + 4x = 11x 33 + 11x = 6x + -6 Reorder the terms: 33 + 11x = -6 + 6x Solving 33 + 11x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 33 + 11x + -6x = -6 + 6x + -6x Combine like terms: 11x + -6x = 5x 33 + 5x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + 5x = -6 + 0 33 + 5x = -6 Add '-33' to each side of the equation. 33 + -33 + 5x = -6 + -33 Combine like terms: 33 + -33 = 0 0 + 5x = -6 + -33 5x = -6 + -33 Combine like terms: -6 + -33 = -39 5x = -39 Divide each side by '5'. x = -7.8 Simplifying x = -7.8
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