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Simplifying 4 + -7x = 1 + -1(3 + -7X + -1(x + -9)) Reorder the terms: 4 + -7x = 1 + -1(3 + -7X + -1(-9 + x)) 4 + -7x = 1 + -1(3 + -7X + (-9 * -1 + x * -1)) 4 + -7x = 1 + -1(3 + -7X + (9 + -1x)) Reorder the terms: 4 + -7x = 1 + -1(3 + 9 + -7X + -1x) Combine like terms: 3 + 9 = 12 4 + -7x = 1 + -1(12 + -7X + -1x) 4 + -7x = 1 + (12 * -1 + -7X * -1 + -1x * -1) 4 + -7x = 1 + (-12 + 7X + 1x) Combine like terms: 1 + -12 = -11 4 + -7x = -11 + 7X + 1x Solving 4 + -7x = -11 + 7X + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -7x + -1x = -11 + 7X + 1x + -1x Combine like terms: -7x + -1x = -8x 4 + -8x = -11 + 7X + 1x + -1x Combine like terms: 1x + -1x = 0 4 + -8x = -11 + 7X + 0 4 + -8x = -11 + 7X Add '-4' to each side of the equation. 4 + -4 + -8x = -11 + -4 + 7X Combine like terms: 4 + -4 = 0 0 + -8x = -11 + -4 + 7X -8x = -11 + -4 + 7X Combine like terms: -11 + -4 = -15 -8x = -15 + 7X Divide each side by '-8'. x = 1.875 + -0.875X Simplifying x = 1.875 + -0.875X
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