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Simplifying 3(x + -2) + 5(3x + 7) = -7 Reorder the terms: 3(-2 + x) + 5(3x + 7) = -7 (-2 * 3 + x * 3) + 5(3x + 7) = -7 (-6 + 3x) + 5(3x + 7) = -7 Reorder the terms: -6 + 3x + 5(7 + 3x) = -7 -6 + 3x + (7 * 5 + 3x * 5) = -7 -6 + 3x + (35 + 15x) = -7 Reorder the terms: -6 + 35 + 3x + 15x = -7 Combine like terms: -6 + 35 = 29 29 + 3x + 15x = -7 Combine like terms: 3x + 15x = 18x 29 + 18x = -7 Solving 29 + 18x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 18x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + 18x = -7 + -29 18x = -7 + -29 Combine like terms: -7 + -29 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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