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Simplifying 5 + -1(2x + 6) = 4(3 + -1x) + -4 Reorder the terms: 5 + -1(6 + 2x) = 4(3 + -1x) + -4 5 + (6 * -1 + 2x * -1) = 4(3 + -1x) + -4 5 + (-6 + -2x) = 4(3 + -1x) + -4 Combine like terms: 5 + -6 = -1 -1 + -2x = 4(3 + -1x) + -4 -1 + -2x = (3 * 4 + -1x * 4) + -4 -1 + -2x = (12 + -4x) + -4 Reorder the terms: -1 + -2x = 12 + -4 + -4x Combine like terms: 12 + -4 = 8 -1 + -2x = 8 + -4x Solving -1 + -2x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + -2x + 4x = 8 + -4x + 4x Combine like terms: -2x + 4x = 2x -1 + 2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 2x = 8 + 0 -1 + 2x = 8 Add '1' to each side of the equation. -1 + 1 + 2x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 8 + 1 2x = 8 + 1 Combine like terms: 8 + 1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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