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Simplifying 0.25(3x + 12) + 2x = -5(0.25x + 3) Reorder the terms: 0.25(12 + 3x) + 2x = -5(0.25x + 3) (12 * 0.25 + 3x * 0.25) + 2x = -5(0.25x + 3) (3 + 0.75x) + 2x = -5(0.25x + 3) Combine like terms: 0.75x + 2x = 2.75x 3 + 2.75x = -5(0.25x + 3) Reorder the terms: 3 + 2.75x = -5(3 + 0.25x) 3 + 2.75x = (3 * -5 + 0.25x * -5) 3 + 2.75x = (-15 + -1.25x) Solving 3 + 2.75x = -15 + -1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25x' to each side of the equation. 3 + 2.75x + 1.25x = -15 + -1.25x + 1.25x Combine like terms: 2.75x + 1.25x = 4x 3 + 4x = -15 + -1.25x + 1.25x Combine like terms: -1.25x + 1.25x = 0.00 3 + 4x = -15 + 0.00 3 + 4x = -15 Add '-3' to each side of the equation. 3 + -3 + 4x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = -15 + -3 4x = -15 + -3 Combine like terms: -15 + -3 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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