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Simplifying 10x + -1(4 + -3x) = 29 + 2x 10x + (4 * -1 + -3x * -1) = 29 + 2x 10x + (-4 + 3x) = 29 + 2x Reorder the terms: -4 + 10x + 3x = 29 + 2x Combine like terms: 10x + 3x = 13x -4 + 13x = 29 + 2x Solving -4 + 13x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 13x + -2x = 29 + 2x + -2x Combine like terms: 13x + -2x = 11x -4 + 11x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 11x = 29 + 0 -4 + 11x = 29 Add '4' to each side of the equation. -4 + 4 + 11x = 29 + 4 Combine like terms: -4 + 4 = 0 0 + 11x = 29 + 4 11x = 29 + 4 Combine like terms: 29 + 4 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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