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Simplifying 14x + -13 = 6(x + 7) + -2 Reorder the terms: -13 + 14x = 6(x + 7) + -2 Reorder the terms: -13 + 14x = 6(7 + x) + -2 -13 + 14x = (7 * 6 + x * 6) + -2 -13 + 14x = (42 + 6x) + -2 Reorder the terms: -13 + 14x = 42 + -2 + 6x Combine like terms: 42 + -2 = 40 -13 + 14x = 40 + 6x Solving -13 + 14x = 40 + 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. -13 + 14x + -6x = 40 + 6x + -6x Combine like terms: 14x + -6x = 8x -13 + 8x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 8x = 40 + 0 -13 + 8x = 40 Add '13' to each side of the equation. -13 + 13 + 8x = 40 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 40 + 13 8x = 40 + 13 Combine like terms: 40 + 13 = 53 8x = 53 Divide each side by '8'. x = 6.625 Simplifying x = 6.625
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