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Simplifying 6(x + -9) = 4(x + 2) + -3 Reorder the terms: 6(-9 + x) = 4(x + 2) + -3 (-9 * 6 + x * 6) = 4(x + 2) + -3 (-54 + 6x) = 4(x + 2) + -3 Reorder the terms: -54 + 6x = 4(2 + x) + -3 -54 + 6x = (2 * 4 + x * 4) + -3 -54 + 6x = (8 + 4x) + -3 Reorder the terms: -54 + 6x = 8 + -3 + 4x Combine like terms: 8 + -3 = 5 -54 + 6x = 5 + 4x Solving -54 + 6x = 5 + 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 = 5 + 4x + -4x Combine like terms: 6x + -4x = 2x -54 + 2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -54 + 2x = 5 + 0 -54 + 2x = 5 Add '54' to each side of the equation. -54 + 54 + 2x = 5 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = 5 + 54 2x = 5 + 54 Combine like terms: 5 + 54 = 59 2x = 59 Divide each side by '2'. x = 29.5 Simplifying x = 29.5
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