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Simplifying 14(x + -5) = 16(-1x + 5) Reorder the terms: 14(-5 + x) = 16(-1x + 5) (-5 * 14 + x * 14) = 16(-1x + 5) (-70 + 14x) = 16(-1x + 5) Reorder the terms: -70 + 14x = 16(5 + -1x) -70 + 14x = (5 * 16 + -1x * 16) -70 + 14x = (80 + -16x) Solving -70 + 14x = 80 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -70 + 14x + 16x = 80 + -16x + 16x Combine like terms: 14x + 16x = 30x -70 + 30x = 80 + -16x + 16x Combine like terms: -16x + 16x = 0 -70 + 30x = 80 + 0 -70 + 30x = 80 Add '70' to each side of the equation. -70 + 70 + 30x = 80 + 70 Combine like terms: -70 + 70 = 0 0 + 30x = 80 + 70 30x = 80 + 70 Combine like terms: 80 + 70 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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