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Simplifying 14 + -1(x + 6) = 4x + -7 Reorder the terms: 14 + -1(6 + x) = 4x + -7 14 + (6 * -1 + x * -1) = 4x + -7 14 + (-6 + -1x) = 4x + -7 Combine like terms: 14 + -6 = 8 8 + -1x = 4x + -7 Reorder the terms: 8 + -1x = -7 + 4x Solving 8 + -1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -1x + -4x = -7 + 4x + -4x Combine like terms: -1x + -4x = -5x 8 + -5x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -5x = -7 + 0 8 + -5x = -7 Add '-8' to each side of the equation. 8 + -8 + -5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -7 + -8 -5x = -7 + -8 Combine like terms: -7 + -8 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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