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Simplifying 6(x + 1) + 2x = -3 + 2(2x + -4) Reorder the terms: 6(1 + x) + 2x = -3 + 2(2x + -4) (1 * 6 + x * 6) + 2x = -3 + 2(2x + -4) (6 + 6x) + 2x = -3 + 2(2x + -4) Combine like terms: 6x + 2x = 8x 6 + 8x = -3 + 2(2x + -4) Reorder the terms: 6 + 8x = -3 + 2(-4 + 2x) 6 + 8x = -3 + (-4 * 2 + 2x * 2) 6 + 8x = -3 + (-8 + 4x) Combine like terms: -3 + -8 = -11 6 + 8x = -11 + 4x Solving 6 + 8x = -11 + 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. 6 + 8x + -4x = -11 + 4x + -4x Combine like terms: 8x + -4x = 4x 6 + 4x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 4x = -11 + 0 6 + 4x = -11 Add '-6' to each side of the equation. 6 + -6 + 4x = -11 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -11 + -6 4x = -11 + -6 Combine like terms: -11 + -6 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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