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Simplifying 3 + -2(4x + 1) = 3(2x + -6) + 5 Reorder the terms: 3 + -2(1 + 4x) = 3(2x + -6) + 5 3 + (1 * -2 + 4x * -2) = 3(2x + -6) + 5 3 + (-2 + -8x) = 3(2x + -6) + 5 Combine like terms: 3 + -2 = 1 1 + -8x = 3(2x + -6) + 5 Reorder the terms: 1 + -8x = 3(-6 + 2x) + 5 1 + -8x = (-6 * 3 + 2x * 3) + 5 1 + -8x = (-18 + 6x) + 5 Reorder the terms: 1 + -8x = -18 + 5 + 6x Combine like terms: -18 + 5 = -13 1 + -8x = -13 + 6x Solving 1 + -8x = -13 + 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. 1 + -8x + -6x = -13 + 6x + -6x Combine like terms: -8x + -6x = -14x 1 + -14x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -14x = -13 + 0 1 + -14x = -13 Add '-1' to each side of the equation. 1 + -1 + -14x = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -14x = -13 + -1 -14x = -13 + -1 Combine like terms: -13 + -1 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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