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Simplifying -4(7 + 4x) + 8(x + 5) = -6x + 4x (7 * -4 + 4x * -4) + 8(x + 5) = -6x + 4x (-28 + -16x) + 8(x + 5) = -6x + 4x Reorder the terms: -28 + -16x + 8(5 + x) = -6x + 4x -28 + -16x + (5 * 8 + x * 8) = -6x + 4x -28 + -16x + (40 + 8x) = -6x + 4x Reorder the terms: -28 + 40 + -16x + 8x = -6x + 4x Combine like terms: -28 + 40 = 12 12 + -16x + 8x = -6x + 4x Combine like terms: -16x + 8x = -8x 12 + -8x = -6x + 4x Combine like terms: -6x + 4x = -2x 12 + -8x = -2x Solving 12 + -8x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -8x + 2x = -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = 0 Add '-12' to each side of the equation. 12 + -12 + -6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 0 + -12 -6x = 0 + -12 Combine like terms: 0 + -12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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