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Simplifying 2(4x + 3) = 2x + -5(3 + -1x) + 2 Reorder the terms: 2(3 + 4x) = 2x + -5(3 + -1x) + 2 (3 * 2 + 4x * 2) = 2x + -5(3 + -1x) + 2 (6 + 8x) = 2x + -5(3 + -1x) + 2 6 + 8x = 2x + (3 * -5 + -1x * -5) + 2 6 + 8x = 2x + (-15 + 5x) + 2 Reorder the terms: 6 + 8x = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 6 + 8x = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 6 + 8x = -13 + 7x Solving 6 + 8x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 8x + -7x = -13 + 7x + -7x Combine like terms: 8x + -7x = 1x 6 + 1x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 1x = -13 + 0 6 + 1x = -13 Add '-6' to each side of the equation. 6 + -6 + 1x = -13 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -13 + -6 1x = -13 + -6 Combine like terms: -13 + -6 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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