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Simplifying 5x + 14 = (2x + -13) + (4x + -16) Reorder the terms: 14 + 5x = (2x + -13) + (4x + -16) Reorder the terms: 14 + 5x = (-13 + 2x) + (4x + -16) Remove parenthesis around (-13 + 2x) 14 + 5x = -13 + 2x + (4x + -16) Reorder the terms: 14 + 5x = -13 + 2x + (-16 + 4x) Remove parenthesis around (-16 + 4x) 14 + 5x = -13 + 2x + -16 + 4x Reorder the terms: 14 + 5x = -13 + -16 + 2x + 4x Combine like terms: -13 + -16 = -29 14 + 5x = -29 + 2x + 4x Combine like terms: 2x + 4x = 6x 14 + 5x = -29 + 6x Solving 14 + 5x = -29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 5x + -6x = -29 + 6x + -6x Combine like terms: 5x + -6x = -1x 14 + -1x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -1x = -29 + 0 14 + -1x = -29 Add '-14' to each side of the equation. 14 + -14 + -1x = -29 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -29 + -14 -1x = -29 + -14 Combine like terms: -29 + -14 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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