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Simplifying 0.25(16x + 6) + -3x + 5 = 2 + -2x Reorder the terms: 0.25(6 + 16x) + -3x + 5 = 2 + -2x (6 * 0.25 + 16x * 0.25) + -3x + 5 = 2 + -2x (1.5 + 4x) + -3x + 5 = 2 + -2x Reorder the terms: 1.5 + 5 + 4x + -3x = 2 + -2x Combine like terms: 1.5 + 5 = 6.5 6.5 + 4x + -3x = 2 + -2x Combine like terms: 4x + -3x = 1x 6.5 + 1x = 2 + -2x Solving 6.5 + 1x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6.5 + 1x + 2x = 2 + -2x + 2x Combine like terms: 1x + 2x = 3x 6.5 + 3x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 6.5 + 3x = 2 + 0 6.5 + 3x = 2 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 3x = 2 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 3x = 2 + -6.5 3x = 2 + -6.5 Combine like terms: 2 + -6.5 = -4.5 3x = -4.5 Divide each side by '3'. x = -1.5 Simplifying x = -1.5
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