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Simplifying 14x + 56 + 7 = 15x + 6 + 7 Reorder the terms: 56 + 7 + 14x = 15x + 6 + 7 Combine like terms: 56 + 7 = 63 63 + 14x = 15x + 6 + 7 Reorder the terms: 63 + 14x = 6 + 7 + 15x Combine like terms: 6 + 7 = 13 63 + 14x = 13 + 15x Solving 63 + 14x = 13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 63 + 14x + -15x = 13 + 15x + -15x Combine like terms: 14x + -15x = -1x 63 + -1x = 13 + 15x + -15x Combine like terms: 15x + -15x = 0 63 + -1x = 13 + 0 63 + -1x = 13 Add '-63' to each side of the equation. 63 + -63 + -1x = 13 + -63 Combine like terms: 63 + -63 = 0 0 + -1x = 13 + -63 -1x = 13 + -63 Combine like terms: 13 + -63 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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