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Simplifying -7 + -5x + -2x = -8(4x + 2) + 4(1 + 6x) Combine like terms: -5x + -2x = -7x -7 + -7x = -8(4x + 2) + 4(1 + 6x) Reorder the terms: -7 + -7x = -8(2 + 4x) + 4(1 + 6x) -7 + -7x = (2 * -8 + 4x * -8) + 4(1 + 6x) -7 + -7x = (-16 + -32x) + 4(1 + 6x) -7 + -7x = -16 + -32x + (1 * 4 + 6x * 4) -7 + -7x = -16 + -32x + (4 + 24x) Reorder the terms: -7 + -7x = -16 + 4 + -32x + 24x Combine like terms: -16 + 4 = -12 -7 + -7x = -12 + -32x + 24x Combine like terms: -32x + 24x = -8x -7 + -7x = -12 + -8x Solving -7 + -7x = -12 + -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. -7 + -7x + 8x = -12 + -8x + 8x Combine like terms: -7x + 8x = 1x -7 + 1x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 -7 + 1x = -12 + 0 -7 + 1x = -12 Add '7' to each side of the equation. -7 + 7 + 1x = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -12 + 7 1x = -12 + 7 Combine like terms: -12 + 7 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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