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Simplifying 5 + -0.5(x + 12) = 3.5(x + -2) Reorder the terms: 5 + -0.5(12 + x) = 3.5(x + -2) 5 + (12 * -0.5 + x * -0.5) = 3.5(x + -2) 5 + (-6 + -0.5x) = 3.5(x + -2) Combine like terms: 5 + -6 = -1 -1 + -0.5x = 3.5(x + -2) Reorder the terms: -1 + -0.5x = 3.5(-2 + x) -1 + -0.5x = (-2 * 3.5 + x * 3.5) -1 + -0.5x = (-7 + 3.5x) Solving -1 + -0.5x = -7 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -1 + -0.5x + -3.5x = -7 + 3.5x + -3.5x Combine like terms: -0.5x + -3.5x = -4x -1 + -4x = -7 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -1 + -4x = -7 + 0.0 -1 + -4x = -7 Add '1' to each side of the equation. -1 + 1 + -4x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -7 + 1 -4x = -7 + 1 Combine like terms: -7 + 1 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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