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Simplifying 6x + -2x + 14 = -4(x + 1) Reorder the terms: 14 + 6x + -2x = -4(x + 1) Combine like terms: 6x + -2x = 4x 14 + 4x = -4(x + 1) Reorder the terms: 14 + 4x = -4(1 + x) 14 + 4x = (1 * -4 + x * -4) 14 + 4x = (-4 + -4x) Solving 14 + 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. 14 + 4x + 4x = -4 + -4x + 4x Combine like terms: 4x + 4x = 8x 14 + 8x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 8x = -4 + 0 14 + 8x = -4 Add '-14' to each side of the equation. 14 + -14 + 8x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -4 + -14 8x = -4 + -14 Combine like terms: -4 + -14 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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