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Simplifying 2x + 3 = 0.75(x + 8) + -16 Reorder the terms: 3 + 2x = 0.75(x + 8) + -16 Reorder the terms: 3 + 2x = 0.75(8 + x) + -16 3 + 2x = (8 * 0.75 + x * 0.75) + -16 3 + 2x = (6 + 0.75x) + -16 Reorder the terms: 3 + 2x = 6 + -16 + 0.75x Combine like terms: 6 + -16 = -10 3 + 2x = -10 + 0.75x Solving 3 + 2x = -10 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 3 + 2x + -0.75x = -10 + 0.75x + -0.75x Combine like terms: 2x + -0.75x = 1.25x 3 + 1.25x = -10 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + 1.25x = -10 + 0.00 3 + 1.25x = -10 Add '-3' to each side of the equation. 3 + -3 + 1.25x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 1.25x = -10 + -3 1.25x = -10 + -3 Combine like terms: -10 + -3 = -13 1.25x = -13 Divide each side by '1.25'. x = -10.4 Simplifying x = -10.4
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