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Simplifying 4(0.5x + 0.25) + 2 = 2(4x + 24) Reorder the terms: 4(0.25 + 0.5x) + 2 = 2(4x + 24) (0.25 * 4 + 0.5x * 4) + 2 = 2(4x + 24) (1 + 2x) + 2 = 2(4x + 24) Reorder the terms: 1 + 2 + 2x = 2(4x + 24) Combine like terms: 1 + 2 = 3 3 + 2x = 2(4x + 24) Reorder the terms: 3 + 2x = 2(24 + 4x) 3 + 2x = (24 * 2 + 4x * 2) 3 + 2x = (48 + 8x) Solving 3 + 2x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 2x + -8x = 48 + 8x + -8x Combine like terms: 2x + -8x = -6x 3 + -6x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -6x = 48 + 0 3 + -6x = 48 Add '-3' to each side of the equation. 3 + -3 + -6x = 48 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 48 + -3 -6x = 48 + -3 Combine like terms: 48 + -3 = 45 -6x = 45 Divide each side by '-6'. x = -7.5 Simplifying x = -7.5
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