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Simplifying -4(x + 2) + 6 = (x + 3) + 6 Reorder the terms: -4(2 + x) + 6 = (x + 3) + 6 (2 * -4 + x * -4) + 6 = (x + 3) + 6 (-8 + -4x) + 6 = (x + 3) + 6 Reorder the terms: -8 + 6 + -4x = (x + 3) + 6 Combine like terms: -8 + 6 = -2 -2 + -4x = (x + 3) + 6 Reorder the terms: -2 + -4x = (3 + x) + 6 Remove parenthesis around (3 + x) -2 + -4x = 3 + x + 6 Reorder the terms: -2 + -4x = 3 + 6 + x Combine like terms: 3 + 6 = 9 -2 + -4x = 9 + x Solving -2 + -4x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -4x + -1x = 9 + x + -1x Combine like terms: -4x + -1x = -5x -2 + -5x = 9 + x + -1x Combine like terms: x + -1x = 0 -2 + -5x = 9 + 0 -2 + -5x = 9 Add '2' to each side of the equation. -2 + 2 + -5x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 9 + 2 -5x = 9 + 2 Combine like terms: 9 + 2 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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