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Simplifying 0.75(12x + 4) + -14 = -0.50(8x + -16) Reorder the terms: 0.75(4 + 12x) + -14 = -0.50(8x + -16) (4 * 0.75 + 12x * 0.75) + -14 = -0.50(8x + -16) (3 + 9x) + -14 = -0.50(8x + -16) Reorder the terms: 3 + -14 + 9x = -0.50(8x + -16) Combine like terms: 3 + -14 = -11 -11 + 9x = -0.50(8x + -16) Reorder the terms: -11 + 9x = -0.50(-16 + 8x) -11 + 9x = (-16 * -0.50 + 8x * -0.50) -11 + 9x = (8 + -4x) Solving -11 + 9x = 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. -11 + 9x + 4x = 8 + -4x + 4x Combine like terms: 9x + 4x = 13x -11 + 13x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 13x = 8 + 0 -11 + 13x = 8 Add '11' to each side of the equation. -11 + 11 + 13x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 13x = 8 + 11 13x = 8 + 11 Combine like terms: 8 + 11 = 19 13x = 19 Divide each side by '13'. x = 1.461538462 Simplifying x = 1.461538462
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