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Simplifying 9x + -15 + -9x + -7(3x + -6) + -3(x + 1) = 3 Reorder the terms: 9x + -15 + -9x + -7(-6 + 3x) + -3(x + 1) = 3 9x + -15 + -9x + (-6 * -7 + 3x * -7) + -3(x + 1) = 3 9x + -15 + -9x + (42 + -21x) + -3(x + 1) = 3 Reorder the terms: 9x + -15 + -9x + 42 + -21x + -3(1 + x) = 3 9x + -15 + -9x + 42 + -21x + (1 * -3 + x * -3) = 3 9x + -15 + -9x + 42 + -21x + (-3 + -3x) = 3 Reorder the terms: -15 + 42 + -3 + 9x + -9x + -21x + -3x = 3 Combine like terms: -15 + 42 = 27 27 + -3 + 9x + -9x + -21x + -3x = 3 Combine like terms: 27 + -3 = 24 24 + 9x + -9x + -21x + -3x = 3 Combine like terms: 9x + -9x = 0 24 + 0 + -21x + -3x = 3 24 + -21x + -3x = 3 Combine like terms: -21x + -3x = -24x 24 + -24x = 3 Solving 24 + -24x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -24x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = 3 + -24 -24x = 3 + -24 Combine like terms: 3 + -24 = -21 -24x = -21 Divide each side by '-24'. x = 0.875 Simplifying x = 0.875
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