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Simplifying 6x + -7(6x + 4) = 8(1 + -3x) Reorder the terms: 6x + -7(4 + 6x) = 8(1 + -3x) 6x + (4 * -7 + 6x * -7) = 8(1 + -3x) 6x + (-28 + -42x) = 8(1 + -3x) Reorder the terms: -28 + 6x + -42x = 8(1 + -3x) Combine like terms: 6x + -42x = -36x -28 + -36x = 8(1 + -3x) -28 + -36x = (1 * 8 + -3x * 8) -28 + -36x = (8 + -24x) Solving -28 + -36x = 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 + -36x + 24x = 8 + -24x + 24x Combine like terms: -36x + 24x = -12x -28 + -12x = 8 + -24x + 24x Combine like terms: -24x + 24x = 0 -28 + -12x = 8 + 0 -28 + -12x = 8 Add '28' to each side of the equation. -28 + 28 + -12x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = 8 + 28 -12x = 8 + 28 Combine like terms: 8 + 28 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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