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Simplifying 14(x + -5) = 2(x + -1) + 4 Reorder the terms: 14(-5 + x) = 2(x + -1) + 4 (-5 * 14 + x * 14) = 2(x + -1) + 4 (-70 + 14x) = 2(x + -1) + 4 Reorder the terms: -70 + 14x = 2(-1 + x) + 4 -70 + 14x = (-1 * 2 + x * 2) + 4 -70 + 14x = (-2 + 2x) + 4 Reorder the terms: -70 + 14x = -2 + 4 + 2x Combine like terms: -2 + 4 = 2 -70 + 14x = 2 + 2x Solving -70 + 14x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -70 + 14x + -2x = 2 + 2x + -2x Combine like terms: 14x + -2x = 12x -70 + 12x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -70 + 12x = 2 + 0 -70 + 12x = 2 Add '70' to each side of the equation. -70 + 70 + 12x = 2 + 70 Combine like terms: -70 + 70 = 0 0 + 12x = 2 + 70 12x = 2 + 70 Combine like terms: 2 + 70 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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