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Simplifying 3(x + -3) + -3(x + 2) = 7(3x + -1) + 29 Reorder the terms: 3(-3 + x) + -3(x + 2) = 7(3x + -1) + 29 (-3 * 3 + x * 3) + -3(x + 2) = 7(3x + -1) + 29 (-9 + 3x) + -3(x + 2) = 7(3x + -1) + 29 Reorder the terms: -9 + 3x + -3(2 + x) = 7(3x + -1) + 29 -9 + 3x + (2 * -3 + x * -3) = 7(3x + -1) + 29 -9 + 3x + (-6 + -3x) = 7(3x + -1) + 29 Reorder the terms: -9 + -6 + 3x + -3x = 7(3x + -1) + 29 Combine like terms: -9 + -6 = -15 -15 + 3x + -3x = 7(3x + -1) + 29 Combine like terms: 3x + -3x = 0 -15 + 0 = 7(3x + -1) + 29 -15 = 7(3x + -1) + 29 Reorder the terms: -15 = 7(-1 + 3x) + 29 -15 = (-1 * 7 + 3x * 7) + 29 -15 = (-7 + 21x) + 29 Reorder the terms: -15 = -7 + 29 + 21x Combine like terms: -7 + 29 = 22 -15 = 22 + 21x Solving -15 = 22 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -15 + -21x = 22 + 21x + -21x Combine like terms: 21x + -21x = 0 -15 + -21x = 22 + 0 -15 + -21x = 22 Add '15' to each side of the equation. -15 + 15 + -21x = 22 + 15 Combine like terms: -15 + 15 = 0 0 + -21x = 22 + 15 -21x = 22 + 15 Combine like terms: 22 + 15 = 37 -21x = 37 Divide each side by '-21'. x = -1.761904762 Simplifying x = -1.761904762
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