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Simplifying 4(2x + -1) + 1 = 5x + -18 Reorder the terms: 4(-1 + 2x) + 1 = 5x + -18 (-1 * 4 + 2x * 4) + 1 = 5x + -18 (-4 + 8x) + 1 = 5x + -18 Reorder the terms: -4 + 1 + 8x = 5x + -18 Combine like terms: -4 + 1 = -3 -3 + 8x = 5x + -18 Reorder the terms: -3 + 8x = -18 + 5x Solving -3 + 8x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 8x + -5x = -18 + 5x + -5x Combine like terms: 8x + -5x = 3x -3 + 3x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 3x = -18 + 0 -3 + 3x = -18 Add '3' to each side of the equation. -3 + 3 + 3x = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -18 + 3 3x = -18 + 3 Combine like terms: -18 + 3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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