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Simplifying -7(4 + 6x) = 4(2 + -5x) + -4x (4 * -7 + 6x * -7) = 4(2 + -5x) + -4x (-28 + -42x) = 4(2 + -5x) + -4x -28 + -42x = (2 * 4 + -5x * 4) + -4x -28 + -42x = (8 + -20x) + -4x Combine like terms: -20x + -4x = -24x -28 + -42x = 8 + -24x Solving -28 + -42x = 8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -28 + -42x + 24x = 8 + -24x + 24x Combine like terms: -42x + 24x = -18x -28 + -18x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 -28 + -18x = 8 + 0 -28 + -18x = 8 Add '28' to each side of the equation. -28 + 28 + -18x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -18x = 8 + 28 -18x = 8 + 28 Combine like terms: 8 + 28 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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