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Simplifying 3x + -4 + 0.5(-16x + 10) = 9x + 4 Reorder the terms: 3x + -4 + 0.5(10 + -16x) = 9x + 4 3x + -4 + (10 * 0.5 + -16x * 0.5) = 9x + 4 3x + -4 + (5 + -8x) = 9x + 4 Reorder the terms: -4 + 5 + 3x + -8x = 9x + 4 Combine like terms: -4 + 5 = 1 1 + 3x + -8x = 9x + 4 Combine like terms: 3x + -8x = -5x 1 + -5x = 9x + 4 Reorder the terms: 1 + -5x = 4 + 9x Solving 1 + -5x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + -5x + -9x = 4 + 9x + -9x Combine like terms: -5x + -9x = -14x 1 + -14x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -14x = 4 + 0 1 + -14x = 4 Add '-1' to each side of the equation. 1 + -1 + -14x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -14x = 4 + -1 -14x = 4 + -1 Combine like terms: 4 + -1 = 3 -14x = 3 Divide each side by '-14'. x = -0.2142857143 Simplifying x = -0.2142857143
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