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Simplifying 6(x + 9) + x = 4(x + 3) + 4 Reorder the terms: 6(9 + x) + x = 4(x + 3) + 4 (9 * 6 + x * 6) + x = 4(x + 3) + 4 (54 + 6x) + x = 4(x + 3) + 4 Combine like terms: 6x + x = 7x 54 + 7x = 4(x + 3) + 4 Reorder the terms: 54 + 7x = 4(3 + x) + 4 54 + 7x = (3 * 4 + x * 4) + 4 54 + 7x = (12 + 4x) + 4 Reorder the terms: 54 + 7x = 12 + 4 + 4x Combine like terms: 12 + 4 = 16 54 + 7x = 16 + 4x Solving 54 + 7x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 54 + 7x + -4x = 16 + 4x + -4x Combine like terms: 7x + -4x = 3x 54 + 3x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 3x = 16 + 0 54 + 3x = 16 Add '-54' to each side of the equation. 54 + -54 + 3x = 16 + -54 Combine like terms: 54 + -54 = 0 0 + 3x = 16 + -54 3x = 16 + -54 Combine like terms: 16 + -54 = -38 3x = -38 Divide each side by '3'. x = -12.66666667 Simplifying x = -12.66666667
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