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Simplifying -16x + 23 + 29x = 29x + 30 + 24x Reorder the terms: 23 + -16x + 29x = 29x + 30 + 24x Combine like terms: -16x + 29x = 13x 23 + 13x = 29x + 30 + 24x Reorder the terms: 23 + 13x = 30 + 29x + 24x Combine like terms: 29x + 24x = 53x 23 + 13x = 30 + 53x Solving 23 + 13x = 30 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. 23 + 13x + -53x = 30 + 53x + -53x Combine like terms: 13x + -53x = -40x 23 + -40x = 30 + 53x + -53x Combine like terms: 53x + -53x = 0 23 + -40x = 30 + 0 23 + -40x = 30 Add '-23' to each side of the equation. 23 + -23 + -40x = 30 + -23 Combine like terms: 23 + -23 = 0 0 + -40x = 30 + -23 -40x = 30 + -23 Combine like terms: 30 + -23 = 7 -40x = 7 Divide each side by '-40'. x = -0.175 Simplifying x = -0.175
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