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Simplifying -7(6x + -1) + 10.75(4x + -1) + -4 = 9 + -4 Reorder the terms: -7(-1 + 6x) + 10.75(4x + -1) + -4 = 9 + -4 (-1 * -7 + 6x * -7) + 10.75(4x + -1) + -4 = 9 + -4 (7 + -42x) + 10.75(4x + -1) + -4 = 9 + -4 Reorder the terms: 7 + -42x + 10.75(-1 + 4x) + -4 = 9 + -4 7 + -42x + (-1 * 10.75 + 4x * 10.75) + -4 = 9 + -4 7 + -42x + (-10.75 + 43x) + -4 = 9 + -4 Reorder the terms: 7 + -10.75 + -4 + -42x + 43x = 9 + -4 Combine like terms: 7 + -10.75 = -3.75 -3.75 + -4 + -42x + 43x = 9 + -4 Combine like terms: -3.75 + -4 = -7.75 -7.75 + -42x + 43x = 9 + -4 Combine like terms: -42x + 43x = 1x -7.75 + 1x = 9 + -4 Combine like terms: 9 + -4 = 5 -7.75 + 1x = 5 Solving -7.75 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.75' to each side of the equation. -7.75 + 7.75 + 1x = 5 + 7.75 Combine like terms: -7.75 + 7.75 = 0.00 0.00 + 1x = 5 + 7.75 1x = 5 + 7.75 Combine like terms: 5 + 7.75 = 12.75 1x = 12.75 Divide each side by '1'. x = 12.75 Simplifying x = 12.75
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