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Simplifying 6 + -7x + 11 = -2(-4x + 1) Reorder the terms: 6 + 11 + -7x = -2(-4x + 1) Combine like terms: 6 + 11 = 17 17 + -7x = -2(-4x + 1) Reorder the terms: 17 + -7x = -2(1 + -4x) 17 + -7x = (1 * -2 + -4x * -2) 17 + -7x = (-2 + 8x) Solving 17 + -7x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + -7x + -8x = -2 + 8x + -8x Combine like terms: -7x + -8x = -15x 17 + -15x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -15x = -2 + 0 17 + -15x = -2 Add '-17' to each side of the equation. 17 + -17 + -15x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -15x = -2 + -17 -15x = -2 + -17 Combine like terms: -2 + -17 = -19 -15x = -19 Divide each side by '-15'. x = 1.266666667 Simplifying x = 1.266666667
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