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Simplifying 1 + -1(8 + -3x) + 4(x + 2) = 5 + -2x 1 + (8 * -1 + -3x * -1) + 4(x + 2) = 5 + -2x 1 + (-8 + 3x) + 4(x + 2) = 5 + -2x Reorder the terms: 1 + -8 + 3x + 4(2 + x) = 5 + -2x 1 + -8 + 3x + (2 * 4 + x * 4) = 5 + -2x 1 + -8 + 3x + (8 + 4x) = 5 + -2x Reorder the terms: 1 + -8 + 8 + 3x + 4x = 5 + -2x Combine like terms: 1 + -8 = -7 -7 + 8 + 3x + 4x = 5 + -2x Combine like terms: -7 + 8 = 1 1 + 3x + 4x = 5 + -2x Combine like terms: 3x + 4x = 7x 1 + 7x = 5 + -2x Solving 1 + 7x = 5 + -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. 1 + 7x + 2x = 5 + -2x + 2x Combine like terms: 7x + 2x = 9x 1 + 9x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 9x = 5 + 0 1 + 9x = 5 Add '-1' to each side of the equation. 1 + -1 + 9x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 5 + -1 9x = 5 + -1 Combine like terms: 5 + -1 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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