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Simplifying -6(0.75x + -2) + 3 = -0.5x + 7 Reorder the terms: -6(-2 + 0.75x) + 3 = -0.5x + 7 (-2 * -6 + 0.75x * -6) + 3 = -0.5x + 7 (12 + -4.5x) + 3 = -0.5x + 7 Reorder the terms: 12 + 3 + -4.5x = -0.5x + 7 Combine like terms: 12 + 3 = 15 15 + -4.5x = -0.5x + 7 Reorder the terms: 15 + -4.5x = 7 + -0.5x Solving 15 + -4.5x = 7 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 15 + -4.5x + 0.5x = 7 + -0.5x + 0.5x Combine like terms: -4.5x + 0.5x = -4x 15 + -4x = 7 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 15 + -4x = 7 + 0.0 15 + -4x = 7 Add '-15' to each side of the equation. 15 + -15 + -4x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 7 + -15 -4x = 7 + -15 Combine like terms: 7 + -15 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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