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Simplifying -2(7 + -4x) = 1.5(4 + 16x) + -16 (7 * -2 + -4x * -2) = 1.5(4 + 16x) + -16 (-14 + 8x) = 1.5(4 + 16x) + -16 -14 + 8x = (4 * 1.5 + 16x * 1.5) + -16 -14 + 8x = (6 + 24x) + -16 Reorder the terms: -14 + 8x = 6 + -16 + 24x Combine like terms: 6 + -16 = -10 -14 + 8x = -10 + 24x Solving -14 + 8x = -10 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -14 + 8x + -24x = -10 + 24x + -24x Combine like terms: 8x + -24x = -16x -14 + -16x = -10 + 24x + -24x Combine like terms: 24x + -24x = 0 -14 + -16x = -10 + 0 -14 + -16x = -10 Add '14' to each side of the equation. -14 + 14 + -16x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -16x = -10 + 14 -16x = -10 + 14 Combine like terms: -10 + 14 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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