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Simplifying 4x + -1(3x + 8) = 2x + -26 Reorder the terms: 4x + -1(8 + 3x) = 2x + -26 4x + (8 * -1 + 3x * -1) = 2x + -26 4x + (-8 + -3x) = 2x + -26 Reorder the terms: -8 + 4x + -3x = 2x + -26 Combine like terms: 4x + -3x = 1x -8 + 1x = 2x + -26 Reorder the terms: -8 + 1x = -26 + 2x Solving -8 + 1x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 1x + -2x = -26 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = -26 + 0 -8 + -1x = -26 Add '8' to each side of the equation. -8 + 8 + -1x = -26 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -26 + 8 -1x = -26 + 8 Combine like terms: -26 + 8 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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