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Simplifying 8 + -1(-1x + -4) = 3(x + 3) + -7(X + 3) Reorder the terms: 8 + -1(-4 + -1x) = 3(x + 3) + -7(X + 3) 8 + (-4 * -1 + -1x * -1) = 3(x + 3) + -7(X + 3) 8 + (4 + 1x) = 3(x + 3) + -7(X + 3) Combine like terms: 8 + 4 = 12 12 + 1x = 3(x + 3) + -7(X + 3) Reorder the terms: 12 + 1x = 3(3 + x) + -7(X + 3) 12 + 1x = (3 * 3 + x * 3) + -7(X + 3) 12 + 1x = (9 + 3x) + -7(X + 3) Reorder the terms: 12 + 1x = 9 + 3x + -7(3 + X) 12 + 1x = 9 + 3x + (3 * -7 + X * -7) 12 + 1x = 9 + 3x + (-21 + -7X) Reorder the terms: 12 + 1x = 9 + -21 + -7X + 3x Combine like terms: 9 + -21 = -12 12 + 1x = -12 + -7X + 3x Solving 12 + 1x = -12 + -7X + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 1x + -3x = -12 + -7X + 3x + -3x Combine like terms: 1x + -3x = -2x 12 + -2x = -12 + -7X + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -2x = -12 + -7X + 0 12 + -2x = -12 + -7X Add '-12' to each side of the equation. 12 + -12 + -2x = -12 + -12 + -7X Combine like terms: 12 + -12 = 0 0 + -2x = -12 + -12 + -7X -2x = -12 + -12 + -7X Combine like terms: -12 + -12 = -24 -2x = -24 + -7X Divide each side by '-2'. x = 12 + 3.5X Simplifying x = 12 + 3.5X
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