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Simplifying -4x + 6 = -2(4x + 15) Reorder the terms: 6 + -4x = -2(4x + 15) Reorder the terms: 6 + -4x = -2(15 + 4x) 6 + -4x = (15 * -2 + 4x * -2) 6 + -4x = (-30 + -8x) Solving 6 + -4x = -30 + -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. 6 + -4x + 8x = -30 + -8x + 8x Combine like terms: -4x + 8x = 4x 6 + 4x = -30 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 4x = -30 + 0 6 + 4x = -30 Add '-6' to each side of the equation. 6 + -6 + 4x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -30 + -6 4x = -30 + -6 Combine like terms: -30 + -6 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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