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Simplifying 2 + 1.5(x + 4) = 3.5x + -4 Reorder the terms: 2 + 1.5(4 + x) = 3.5x + -4 2 + (4 * 1.5 + x * 1.5) = 3.5x + -4 2 + (6 + 1.5x) = 3.5x + -4 Combine like terms: 2 + 6 = 8 8 + 1.5x = 3.5x + -4 Reorder the terms: 8 + 1.5x = -4 + 3.5x Solving 8 + 1.5x = -4 + 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. 8 + 1.5x + -3.5x = -4 + 3.5x + -3.5x Combine like terms: 1.5x + -3.5x = -2x 8 + -2x = -4 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 8 + -2x = -4 + 0.0 8 + -2x = -4 Add '-8' to each side of the equation. 8 + -8 + -2x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -4 + -8 -2x = -4 + -8 Combine like terms: -4 + -8 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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