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Simplifying 6(x + 9) = 4(x + -3) Reorder the terms: 6(9 + x) = 4(x + -3) (9 * 6 + x * 6) = 4(x + -3) (54 + 6x) = 4(x + -3) Reorder the terms: 54 + 6x = 4(-3 + x) 54 + 6x = (-3 * 4 + x * 4) 54 + 6x = (-12 + 4x) Solving 54 + 6x = -12 + 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 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x 54 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 2x = -12 + 0 54 + 2x = -12 Add '-54' to each side of the equation. 54 + -54 + 2x = -12 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -12 + -54 2x = -12 + -54 Combine like terms: -12 + -54 = -66 2x = -66 Divide each side by '2'. x = -33 Simplifying x = -33
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