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Simplifying 6x + 4 = 4 + -1(2x + -7) Reorder the terms: 4 + 6x = 4 + -1(2x + -7) Reorder the terms: 4 + 6x = 4 + -1(-7 + 2x) 4 + 6x = 4 + (-7 * -1 + 2x * -1) 4 + 6x = 4 + (7 + -2x) Combine like terms: 4 + 7 = 11 4 + 6x = 11 + -2x Solving 4 + 6x = 11 + -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. 4 + 6x + 2x = 11 + -2x + 2x Combine like terms: 6x + 2x = 8x 4 + 8x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 8x = 11 + 0 4 + 8x = 11 Add '-4' to each side of the equation. 4 + -4 + 8x = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 11 + -4 8x = 11 + -4 Combine like terms: 11 + -4 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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