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Simplifying 4(x + -3) + -5(x + -2) = 7(3x + -1) + 29 Reorder the terms: 4(-3 + x) + -5(x + -2) = 7(3x + -1) + 29 (-3 * 4 + x * 4) + -5(x + -2) = 7(3x + -1) + 29 (-12 + 4x) + -5(x + -2) = 7(3x + -1) + 29 Reorder the terms: -12 + 4x + -5(-2 + x) = 7(3x + -1) + 29 -12 + 4x + (-2 * -5 + x * -5) = 7(3x + -1) + 29 -12 + 4x + (10 + -5x) = 7(3x + -1) + 29 Reorder the terms: -12 + 10 + 4x + -5x = 7(3x + -1) + 29 Combine like terms: -12 + 10 = -2 -2 + 4x + -5x = 7(3x + -1) + 29 Combine like terms: 4x + -5x = -1x -2 + -1x = 7(3x + -1) + 29 Reorder the terms: -2 + -1x = 7(-1 + 3x) + 29 -2 + -1x = (-1 * 7 + 3x * 7) + 29 -2 + -1x = (-7 + 21x) + 29 Reorder the terms: -2 + -1x = -7 + 29 + 21x Combine like terms: -7 + 29 = 22 -2 + -1x = 22 + 21x Solving -2 + -1x = 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. -2 + -1x + -21x = 22 + 21x + -21x Combine like terms: -1x + -21x = -22x -2 + -22x = 22 + 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -22x = 22 + 0 -2 + -22x = 22 Add '2' to each side of the equation. -2 + 2 + -22x = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -22x = 22 + 2 -22x = 22 + 2 Combine like terms: 22 + 2 = 24 -22x = 24 Divide each side by '-22'. x = -1.090909091 Simplifying x = -1.090909091
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