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Simplifying 2(x + 3) + -4x = -8(4 + x) + -1x + -4 Reorder the terms: 2(3 + x) + -4x = -8(4 + x) + -1x + -4 (3 * 2 + x * 2) + -4x = -8(4 + x) + -1x + -4 (6 + 2x) + -4x = -8(4 + x) + -1x + -4 Combine like terms: 2x + -4x = -2x 6 + -2x = -8(4 + x) + -1x + -4 6 + -2x = (4 * -8 + x * -8) + -1x + -4 6 + -2x = (-32 + -8x) + -1x + -4 Reorder the terms: 6 + -2x = -32 + -4 + -8x + -1x Combine like terms: -32 + -4 = -36 6 + -2x = -36 + -8x + -1x Combine like terms: -8x + -1x = -9x 6 + -2x = -36 + -9x Solving 6 + -2x = -36 + -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. 6 + -2x + 9x = -36 + -9x + 9x Combine like terms: -2x + 9x = 7x 6 + 7x = -36 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 7x = -36 + 0 6 + 7x = -36 Add '-6' to each side of the equation. 6 + -6 + 7x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -36 + -6 7x = -36 + -6 Combine like terms: -36 + -6 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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