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Simplifying 4x + 1 = (4x + -6) + (2x + -2) Reorder the terms: 1 + 4x = (4x + -6) + (2x + -2) Reorder the terms: 1 + 4x = (-6 + 4x) + (2x + -2) Remove parenthesis around (-6 + 4x) 1 + 4x = -6 + 4x + (2x + -2) Reorder the terms: 1 + 4x = -6 + 4x + (-2 + 2x) Remove parenthesis around (-2 + 2x) 1 + 4x = -6 + 4x + -2 + 2x Reorder the terms: 1 + 4x = -6 + -2 + 4x + 2x Combine like terms: -6 + -2 = -8 1 + 4x = -8 + 4x + 2x Combine like terms: 4x + 2x = 6x 1 + 4x = -8 + 6x Solving 1 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 1 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 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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