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Simplifying 14(x + -5) = 6(x + 1) Reorder the terms: 14(-5 + x) = 6(x + 1) (-5 * 14 + x * 14) = 6(x + 1) (-70 + 14x) = 6(x + 1) Reorder the terms: -70 + 14x = 6(1 + x) -70 + 14x = (1 * 6 + x * 6) -70 + 14x = (6 + 6x) Solving -70 + 14x = 6 + 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. -70 + 14x + -6x = 6 + 6x + -6x Combine like terms: 14x + -6x = 8x -70 + 8x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -70 + 8x = 6 + 0 -70 + 8x = 6 Add '70' to each side of the equation. -70 + 70 + 8x = 6 + 70 Combine like terms: -70 + 70 = 0 0 + 8x = 6 + 70 8x = 6 + 70 Combine like terms: 6 + 70 = 76 8x = 76 Divide each side by '8'. x = 9.5 Simplifying x = 9.5
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