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Simplifying -4(x + 3) + 2x + 6 = 6x + 11 Reorder the terms: -4(3 + x) + 2x + 6 = 6x + 11 (3 * -4 + x * -4) + 2x + 6 = 6x + 11 (-12 + -4x) + 2x + 6 = 6x + 11 Reorder the terms: -12 + 6 + -4x + 2x = 6x + 11 Combine like terms: -12 + 6 = -6 -6 + -4x + 2x = 6x + 11 Combine like terms: -4x + 2x = -2x -6 + -2x = 6x + 11 Reorder the terms: -6 + -2x = 11 + 6x Solving -6 + -2x = 11 + 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. -6 + -2x + -6x = 11 + 6x + -6x Combine like terms: -2x + -6x = -8x -6 + -8x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -8x = 11 + 0 -6 + -8x = 11 Add '6' to each side of the equation. -6 + 6 + -8x = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 11 + 6 -8x = 11 + 6 Combine like terms: 11 + 6 = 17 -8x = 17 Divide each side by '-8'. x = -2.125 Simplifying x = -2.125
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