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Simplifying 6(x + -9) + 9 = 6x + -9(9 + -1x) Reorder the terms: 6(-9 + x) + 9 = 6x + -9(9 + -1x) (-9 * 6 + x * 6) + 9 = 6x + -9(9 + -1x) (-54 + 6x) + 9 = 6x + -9(9 + -1x) Reorder the terms: -54 + 9 + 6x = 6x + -9(9 + -1x) Combine like terms: -54 + 9 = -45 -45 + 6x = 6x + -9(9 + -1x) -45 + 6x = 6x + (9 * -9 + -1x * -9) -45 + 6x = 6x + (-81 + 9x) Reorder the terms: -45 + 6x = -81 + 6x + 9x Combine like terms: 6x + 9x = 15x -45 + 6x = -81 + 15x Solving -45 + 6x = -81 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -45 + 6x + -15x = -81 + 15x + -15x Combine like terms: 6x + -15x = -9x -45 + -9x = -81 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + -9x = -81 + 0 -45 + -9x = -81 Add '45' to each side of the equation. -45 + 45 + -9x = -81 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = -81 + 45 -9x = -81 + 45 Combine like terms: -81 + 45 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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