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Simplifying -2x + 29 = -3x + 8(3x + -5) Reorder the terms: 29 + -2x = -3x + 8(3x + -5) Reorder the terms: 29 + -2x = -3x + 8(-5 + 3x) 29 + -2x = -3x + (-5 * 8 + 3x * 8) 29 + -2x = -3x + (-40 + 24x) Reorder the terms: 29 + -2x = -40 + -3x + 24x Combine like terms: -3x + 24x = 21x 29 + -2x = -40 + 21x Solving 29 + -2x = -40 + 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. 29 + -2x + -21x = -40 + 21x + -21x Combine like terms: -2x + -21x = -23x 29 + -23x = -40 + 21x + -21x Combine like terms: 21x + -21x = 0 29 + -23x = -40 + 0 29 + -23x = -40 Add '-29' to each side of the equation. 29 + -29 + -23x = -40 + -29 Combine like terms: 29 + -29 = 0 0 + -23x = -40 + -29 -23x = -40 + -29 Combine like terms: -40 + -29 = -69 -23x = -69 Divide each side by '-23'. x = 3 Simplifying x = 3
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