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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 = -22 -22 + 4x + -5x = 7(3x + -1) + 29 Combine like terms: 4x + -5x = -1x -22 + -1x = 7(3x + -1) + 29 Reorder the terms: -22 + -1x = 7(-1 + 3x) + 29 -22 + -1x = (-1 * 7 + 3x * 7) + 29 -22 + -1x = (-7 + 21x) + 29 Reorder the terms: -22 + -1x = -7 + 29 + 21x Combine like terms: -7 + 29 = 22 -22 + -1x = 22 + 21x Solving -22 + -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. -22 + -1x + -21x = 22 + 21x + -21x Combine like terms: -1x + -21x = -22x -22 + -22x = 22 + 21x + -21x Combine like terms: 21x + -21x = 0 -22 + -22x = 22 + 0 -22 + -22x = 22 Add '22' to each side of the equation. -22 + 22 + -22x = 22 + 22 Combine like terms: -22 + 22 = 0 0 + -22x = 22 + 22 -22x = 22 + 22 Combine like terms: 22 + 22 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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