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Simplifying 4(2x + -1) + 5 = 6x + 2 Reorder the terms: 4(-1 + 2x) + 5 = 6x + 2 (-1 * 4 + 2x * 4) + 5 = 6x + 2 (-4 + 8x) + 5 = 6x + 2 Reorder the terms: -4 + 5 + 8x = 6x + 2 Combine like terms: -4 + 5 = 1 1 + 8x = 6x + 2 Reorder the terms: 1 + 8x = 2 + 6x Solving 1 + 8x = 2 + 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 = 2 + 6x + -6x Combine like terms: 8x + -6x = 2x 1 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 2x = 2 + 0 1 + 2x = 2 Add '-1' to each side of the equation. 1 + -1 + 2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 2 + -1 2x = 2 + -1 Combine like terms: 2 + -1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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