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Simplifying 8(0.5 + 0.25x) + 3 = 5x + 7 + -1x (0.5 * 8 + 0.25x * 8) + 3 = 5x + 7 + -1x (4 + 2x) + 3 = 5x + 7 + -1x Reorder the terms: 4 + 3 + 2x = 5x + 7 + -1x Combine like terms: 4 + 3 = 7 7 + 2x = 5x + 7 + -1x Reorder the terms: 7 + 2x = 7 + 5x + -1x Combine like terms: 5x + -1x = 4x 7 + 2x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + 2x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 2x = 7 + -7 + 4x 2x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 2x = 0 + 4x 2x = 4x Solving 2x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x = 4x + -4x Combine like terms: 2x + -4x = -2x -2x = 4x + -4x Combine like terms: 4x + -4x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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