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Simplifying 24x + -2(7x + -0.965) = 9x + 0.075 Reorder the terms: 24x + -2(-0.965 + 7x) = 9x + 0.075 24x + (-0.965 * -2 + 7x * -2) = 9x + 0.075 24x + (1.93 + -14x) = 9x + 0.075 Reorder the terms: 1.93 + 24x + -14x = 9x + 0.075 Combine like terms: 24x + -14x = 10x 1.93 + 10x = 9x + 0.075 Reorder the terms: 1.93 + 10x = 0.075 + 9x Solving 1.93 + 10x = 0.075 + 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. 1.93 + 10x + -9x = 0.075 + 9x + -9x Combine like terms: 10x + -9x = 1x 1.93 + 1x = 0.075 + 9x + -9x Combine like terms: 9x + -9x = 0 1.93 + 1x = 0.075 + 0 1.93 + 1x = 0.075 Add '-1.93' to each side of the equation. 1.93 + -1.93 + 1x = 0.075 + -1.93 Combine like terms: 1.93 + -1.93 = 0.00 0.00 + 1x = 0.075 + -1.93 1x = 0.075 + -1.93 Combine like terms: 0.075 + -1.93 = -1.855 1x = -1.855 Divide each side by '1'. x = -1.855 Simplifying x = -1.855
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