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Simplifying 1 + 2x = 4(x + -2) + -8 Reorder the terms: 1 + 2x = 4(-2 + x) + -8 1 + 2x = (-2 * 4 + x * 4) + -8 1 + 2x = (-8 + 4x) + -8 Reorder the terms: 1 + 2x = -8 + -8 + 4x Combine like terms: -8 + -8 = -16 1 + 2x = -16 + 4x Solving 1 + 2x = -16 + 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 = -16 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x = -16 + 0 1 + -2x = -16 Add '-1' to each side of the equation. 1 + -1 + -2x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -16 + -1 -2x = -16 + -1 Combine like terms: -16 + -1 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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