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Simplifying 15x + 38 = 24x + 29 Reorder the terms: 38 + 15x = 24x + 29 Reorder the terms: 38 + 15x = 29 + 24x Solving 38 + 15x = 29 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 38 + 15x + -24x = 29 + 24x + -24x Combine like terms: 15x + -24x = -9x 38 + -9x = 29 + 24x + -24x Combine like terms: 24x + -24x = 0 38 + -9x = 29 + 0 38 + -9x = 29 Add '-38' to each side of the equation. 38 + -38 + -9x = 29 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 29 + -38 -9x = 29 + -38 Combine like terms: 29 + -38 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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