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Simplifying 4x + -29 = -9(x + -4) Reorder the terms: -29 + 4x = -9(x + -4) Reorder the terms: -29 + 4x = -9(-4 + x) -29 + 4x = (-4 * -9 + x * -9) -29 + 4x = (36 + -9x) Solving -29 + 4x = 36 + -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 = 36 + -9x + 9x Combine like terms: 4x + 9x = 13x -29 + 13x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -29 + 13x = 36 + 0 -29 + 13x = 36 Add '29' to each side of the equation. -29 + 29 + 13x = 36 + 29 Combine like terms: -29 + 29 = 0 0 + 13x = 36 + 29 13x = 36 + 29 Combine like terms: 36 + 29 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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