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Simplifying -1(5x + 2) + 1 = 8(2 + -3x) + 4 Reorder the terms: -1(2 + 5x) + 1 = 8(2 + -3x) + 4 (2 * -1 + 5x * -1) + 1 = 8(2 + -3x) + 4 (-2 + -5x) + 1 = 8(2 + -3x) + 4 Reorder the terms: -2 + 1 + -5x = 8(2 + -3x) + 4 Combine like terms: -2 + 1 = -1 -1 + -5x = 8(2 + -3x) + 4 -1 + -5x = (2 * 8 + -3x * 8) + 4 -1 + -5x = (16 + -24x) + 4 Reorder the terms: -1 + -5x = 16 + 4 + -24x Combine like terms: 16 + 4 = 20 -1 + -5x = 20 + -24x Solving -1 + -5x = 20 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -1 + -5x + 24x = 20 + -24x + 24x Combine like terms: -5x + 24x = 19x -1 + 19x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 -1 + 19x = 20 + 0 -1 + 19x = 20 Add '1' to each side of the equation. -1 + 1 + 19x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 19x = 20 + 1 19x = 20 + 1 Combine like terms: 20 + 1 = 21 19x = 21 Divide each side by '19'. x = 1.105263158 Simplifying x = 1.105263158
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