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Simplifying -7(3x + 6) + x = -6x + -4(6x + 8) Reorder the terms: -7(6 + 3x) + x = -6x + -4(6x + 8) (6 * -7 + 3x * -7) + x = -6x + -4(6x + 8) (-42 + -21x) + x = -6x + -4(6x + 8) Combine like terms: -21x + x = -20x -42 + -20x = -6x + -4(6x + 8) Reorder the terms: -42 + -20x = -6x + -4(8 + 6x) -42 + -20x = -6x + (8 * -4 + 6x * -4) -42 + -20x = -6x + (-32 + -24x) Reorder the terms: -42 + -20x = -32 + -6x + -24x Combine like terms: -6x + -24x = -30x -42 + -20x = -32 + -30x Solving -42 + -20x = -32 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -42 + -20x + 30x = -32 + -30x + 30x Combine like terms: -20x + 30x = 10x -42 + 10x = -32 + -30x + 30x Combine like terms: -30x + 30x = 0 -42 + 10x = -32 + 0 -42 + 10x = -32 Add '42' to each side of the equation. -42 + 42 + 10x = -32 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = -32 + 42 10x = -32 + 42 Combine like terms: -32 + 42 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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