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Simplifying -4(3 + x) + 2 = 4(x + 3) (3 * -4 + x * -4) + 2 = 4(x + 3) (-12 + -4x) + 2 = 4(x + 3) Reorder the terms: -12 + 2 + -4x = 4(x + 3) Combine like terms: -12 + 2 = -10 -10 + -4x = 4(x + 3) Reorder the terms: -10 + -4x = 4(3 + x) -10 + -4x = (3 * 4 + x * 4) -10 + -4x = (12 + 4x) Solving -10 + -4x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + -4x + -4x = 12 + 4x + -4x Combine like terms: -4x + -4x = -8x -10 + -8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -8x = 12 + 0 -10 + -8x = 12 Add '10' to each side of the equation. -10 + 10 + -8x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 12 + 10 -8x = 12 + 10 Combine like terms: 12 + 10 = 22 -8x = 22 Divide each side by '-8'. x = -2.75 Simplifying x = -2.75
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