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Simplifying 6(x + 7) + -9 = 4(x + 7) + 5 Reorder the terms: 6(7 + x) + -9 = 4(x + 7) + 5 (7 * 6 + x * 6) + -9 = 4(x + 7) + 5 (42 + 6x) + -9 = 4(x + 7) + 5 Reorder the terms: 42 + -9 + 6x = 4(x + 7) + 5 Combine like terms: 42 + -9 = 33 33 + 6x = 4(x + 7) + 5 Reorder the terms: 33 + 6x = 4(7 + x) + 5 33 + 6x = (7 * 4 + x * 4) + 5 33 + 6x = (28 + 4x) + 5 Reorder the terms: 33 + 6x = 28 + 5 + 4x Combine like terms: 28 + 5 = 33 33 + 6x = 33 + 4x Add '-33' to each side of the equation. 33 + -33 + 6x = 33 + -33 + 4x Combine like terms: 33 + -33 = 0 0 + 6x = 33 + -33 + 4x 6x = 33 + -33 + 4x Combine like terms: 33 + -33 = 0 6x = 0 + 4x 6x = 4x Solving 6x = 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. 6x + -4x = 4x + -4x Combine like terms: 6x + -4x = 2x 2x = 4x + -4x Combine like terms: 4x + -4x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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