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Simplifying 10x + -7x + 29 = 25 + (19x + -14) Reorder the terms: 29 + 10x + -7x = 25 + (19x + -14) Combine like terms: 10x + -7x = 3x 29 + 3x = 25 + (19x + -14) Reorder the terms: 29 + 3x = 25 + (-14 + 19x) Remove parenthesis around (-14 + 19x) 29 + 3x = 25 + -14 + 19x Combine like terms: 25 + -14 = 11 29 + 3x = 11 + 19x Solving 29 + 3x = 11 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 29 + 3x + -19x = 11 + 19x + -19x Combine like terms: 3x + -19x = -16x 29 + -16x = 11 + 19x + -19x Combine like terms: 19x + -19x = 0 29 + -16x = 11 + 0 29 + -16x = 11 Add '-29' to each side of the equation. 29 + -29 + -16x = 11 + -29 Combine like terms: 29 + -29 = 0 0 + -16x = 11 + -29 -16x = 11 + -29 Combine like terms: 11 + -29 = -18 -16x = -18 Divide each side by '-16'. x = 1.125 Simplifying x = 1.125
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