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Simplifying 7 + -9(x + -1) + -3 = 7 + (9 + -3x) + -81 Reorder the terms: 7 + -9(-1 + x) + -3 = 7 + (9 + -3x) + -81 7 + (-1 * -9 + x * -9) + -3 = 7 + (9 + -3x) + -81 7 + (9 + -9x) + -3 = 7 + (9 + -3x) + -81 Reorder the terms: 7 + 9 + -3 + -9x = 7 + (9 + -3x) + -81 Combine like terms: 7 + 9 = 16 16 + -3 + -9x = 7 + (9 + -3x) + -81 Combine like terms: 16 + -3 = 13 13 + -9x = 7 + (9 + -3x) + -81 Remove parenthesis around (9 + -3x) 13 + -9x = 7 + 9 + -3x + -81 Reorder the terms: 13 + -9x = 7 + 9 + -81 + -3x Combine like terms: 7 + 9 = 16 13 + -9x = 16 + -81 + -3x Combine like terms: 16 + -81 = -65 13 + -9x = -65 + -3x Solving 13 + -9x = -65 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + -9x + 3x = -65 + -3x + 3x Combine like terms: -9x + 3x = -6x 13 + -6x = -65 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + -6x = -65 + 0 13 + -6x = -65 Add '-13' to each side of the equation. 13 + -13 + -6x = -65 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -65 + -13 -6x = -65 + -13 Combine like terms: -65 + -13 = -78 -6x = -78 Divide each side by '-6'. x = 13 Simplifying x = 13
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