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Simplifying 5(x + -3) + -10 = 29x + -289 Reorder the terms: 5(-3 + x) + -10 = 29x + -289 (-3 * 5 + x * 5) + -10 = 29x + -289 (-15 + 5x) + -10 = 29x + -289 Reorder the terms: -15 + -10 + 5x = 29x + -289 Combine like terms: -15 + -10 = -25 -25 + 5x = 29x + -289 Reorder the terms: -25 + 5x = -289 + 29x Solving -25 + 5x = -289 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -25 + 5x + -29x = -289 + 29x + -29x Combine like terms: 5x + -29x = -24x -25 + -24x = -289 + 29x + -29x Combine like terms: 29x + -29x = 0 -25 + -24x = -289 + 0 -25 + -24x = -289 Add '25' to each side of the equation. -25 + 25 + -24x = -289 + 25 Combine like terms: -25 + 25 = 0 0 + -24x = -289 + 25 -24x = -289 + 25 Combine like terms: -289 + 25 = -264 -24x = -264 Divide each side by '-24'. x = 11 Simplifying x = 11
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