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Simplifying 14x + 1 = 6x + -4 + 9x + -2 Reorder the terms: 1 + 14x = 6x + -4 + 9x + -2 Reorder the terms: 1 + 14x = -4 + -2 + 6x + 9x Combine like terms: -4 + -2 = -6 1 + 14x = -6 + 6x + 9x Combine like terms: 6x + 9x = 15x 1 + 14x = -6 + 15x Solving 1 + 14x = -6 + 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. 1 + 14x + -15x = -6 + 15x + -15x Combine like terms: 14x + -15x = -1x 1 + -1x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -1x = -6 + 0 1 + -1x = -6 Add '-1' to each side of the equation. 1 + -1 + -1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -6 + -1 -1x = -6 + -1 Combine like terms: -6 + -1 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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