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Simplifying 4x + -29 = 9(x + -6) Reorder the terms: -29 + 4x = 9(x + -6) Reorder the terms: -29 + 4x = 9(-6 + x) -29 + 4x = (-6 * 9 + x * 9) -29 + 4x = (-54 + 9x) Solving -29 + 4x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -29 + 4x + -9x = -54 + 9x + -9x Combine like terms: 4x + -9x = -5x -29 + -5x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -29 + -5x = -54 + 0 -29 + -5x = -54 Add '29' to each side of the equation. -29 + 29 + -5x = -54 + 29 Combine like terms: -29 + 29 = 0 0 + -5x = -54 + 29 -5x = -54 + 29 Combine like terms: -54 + 29 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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