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Simplifying 0.5(14 + 2x) = -4(x + 2) (14 * 0.5 + 2x * 0.5) = -4(x + 2) (7 + 1x) = -4(x + 2) Reorder the terms: 7 + 1x = -4(2 + x) 7 + 1x = (2 * -4 + x * -4) 7 + 1x = (-8 + -4x) Solving 7 + 1x = -8 + -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. 7 + 1x + 4x = -8 + -4x + 4x Combine like terms: 1x + 4x = 5x 7 + 5x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 5x = -8 + 0 7 + 5x = -8 Add '-7' to each side of the equation. 7 + -7 + 5x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -8 + -7 5x = -8 + -7 Combine like terms: -8 + -7 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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