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Simplifying 4x + 3 + -1 = 2(2x + 2) + -1(8x) Reorder the terms: 3 + -1 + 4x = 2(2x + 2) + -1(8x) Combine like terms: 3 + -1 = 2 2 + 4x = 2(2x + 2) + -1(8x) Reorder the terms: 2 + 4x = 2(2 + 2x) + -1(8x) 2 + 4x = (2 * 2 + 2x * 2) + -1(8x) 2 + 4x = (4 + 4x) + -1(8x) Remove parenthesis around (8x) 2 + 4x = 4 + 4x + -1 * 8x Multiply -1 * 8 2 + 4x = 4 + 4x + -8x Combine like terms: 4x + -8x = -4x 2 + 4x = 4 + -4x Solving 2 + 4x = 4 + -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. 2 + 4x + 4x = 4 + -4x + 4x Combine like terms: 4x + 4x = 8x 2 + 8x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 8x = 4 + 0 2 + 8x = 4 Add '-2' to each side of the equation. 2 + -2 + 8x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 4 + -2 8x = 4 + -2 Combine like terms: 4 + -2 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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