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Simplifying -2(x + 4) + 4 = 6(x + 4) + 1 Reorder the terms: -2(4 + x) + 4 = 6(x + 4) + 1 (4 * -2 + x * -2) + 4 = 6(x + 4) + 1 (-8 + -2x) + 4 = 6(x + 4) + 1 Reorder the terms: -8 + 4 + -2x = 6(x + 4) + 1 Combine like terms: -8 + 4 = -4 -4 + -2x = 6(x + 4) + 1 Reorder the terms: -4 + -2x = 6(4 + x) + 1 -4 + -2x = (4 * 6 + x * 6) + 1 -4 + -2x = (24 + 6x) + 1 Reorder the terms: -4 + -2x = 24 + 1 + 6x Combine like terms: 24 + 1 = 25 -4 + -2x = 25 + 6x Solving -4 + -2x = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + -2x + -6x = 25 + 6x + -6x Combine like terms: -2x + -6x = -8x -4 + -8x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -8x = 25 + 0 -4 + -8x = 25 Add '4' to each side of the equation. -4 + 4 + -8x = 25 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 25 + 4 -8x = 25 + 4 Combine like terms: 25 + 4 = 29 -8x = 29 Divide each side by '-8'. x = -3.625 Simplifying x = -3.625
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