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Simplifying 0.25(12x + 4) + -14 = -0.5(8x + -16) Reorder the terms: 0.25(4 + 12x) + -14 = -0.5(8x + -16) (4 * 0.25 + 12x * 0.25) + -14 = -0.5(8x + -16) (1 + 3x) + -14 = -0.5(8x + -16) Reorder the terms: 1 + -14 + 3x = -0.5(8x + -16) Combine like terms: 1 + -14 = -13 -13 + 3x = -0.5(8x + -16) Reorder the terms: -13 + 3x = -0.5(-16 + 8x) -13 + 3x = (-16 * -0.5 + 8x * -0.5) -13 + 3x = (8 + -4x) Solving -13 + 3x = 8 + -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. -13 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -13 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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