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Simplifying 7x + 3(-2x + -4) = -3 + -8x Reorder the terms: 7x + 3(-4 + -2x) = -3 + -8x 7x + (-4 * 3 + -2x * 3) = -3 + -8x 7x + (-12 + -6x) = -3 + -8x Reorder the terms: -12 + 7x + -6x = -3 + -8x Combine like terms: 7x + -6x = 1x -12 + 1x = -3 + -8x Solving -12 + 1x = -3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 1x + 8x = -3 + -8x + 8x Combine like terms: 1x + 8x = 9x -12 + 9x = -3 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 9x = -3 + 0 -12 + 9x = -3 Add '12' to each side of the equation. -12 + 12 + 9x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -3 + 12 9x = -3 + 12 Combine like terms: -3 + 12 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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