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Simplifying 6x + 8x + 5 = -2(x + 2) + 7 Reorder the terms: 5 + 6x + 8x = -2(x + 2) + 7 Combine like terms: 6x + 8x = 14x 5 + 14x = -2(x + 2) + 7 Reorder the terms: 5 + 14x = -2(2 + x) + 7 5 + 14x = (2 * -2 + x * -2) + 7 5 + 14x = (-4 + -2x) + 7 Reorder the terms: 5 + 14x = -4 + 7 + -2x Combine like terms: -4 + 7 = 3 5 + 14x = 3 + -2x Solving 5 + 14x = 3 + -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. 5 + 14x + 2x = 3 + -2x + 2x Combine like terms: 14x + 2x = 16x 5 + 16x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 16x = 3 + 0 5 + 16x = 3 Add '-5' to each side of the equation. 5 + -5 + 16x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 3 + -5 16x = 3 + -5 Combine like terms: 3 + -5 = -2 16x = -2 Divide each side by '16'. x = -0.125 Simplifying x = -0.125
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