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Simplifying 10x + -6(4x + 10) + -13 = 29 + 3x Reorder the terms: 10x + -6(10 + 4x) + -13 = 29 + 3x 10x + (10 * -6 + 4x * -6) + -13 = 29 + 3x 10x + (-60 + -24x) + -13 = 29 + 3x Reorder the terms: -60 + -13 + 10x + -24x = 29 + 3x Combine like terms: -60 + -13 = -73 -73 + 10x + -24x = 29 + 3x Combine like terms: 10x + -24x = -14x -73 + -14x = 29 + 3x Solving -73 + -14x = 29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -73 + -14x + -3x = 29 + 3x + -3x Combine like terms: -14x + -3x = -17x -73 + -17x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 -73 + -17x = 29 + 0 -73 + -17x = 29 Add '73' to each side of the equation. -73 + 73 + -17x = 29 + 73 Combine like terms: -73 + 73 = 0 0 + -17x = 29 + 73 -17x = 29 + 73 Combine like terms: 29 + 73 = 102 -17x = 102 Divide each side by '-17'. x = -6 Simplifying x = -6
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