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Simplifying 40 + -9x = -2 + -3(7 + 10x) 40 + -9x = -2 + (7 * -3 + 10x * -3) 40 + -9x = -2 + (-21 + -30x) Combine like terms: -2 + -21 = -23 40 + -9x = -23 + -30x Solving 40 + -9x = -23 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 40 + -9x + 30x = -23 + -30x + 30x Combine like terms: -9x + 30x = 21x 40 + 21x = -23 + -30x + 30x Combine like terms: -30x + 30x = 0 40 + 21x = -23 + 0 40 + 21x = -23 Add '-40' to each side of the equation. 40 + -40 + 21x = -23 + -40 Combine like terms: 40 + -40 = 0 0 + 21x = -23 + -40 21x = -23 + -40 Combine like terms: -23 + -40 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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