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Simplifying -4(3 + x) + 5 = 4(3 + x) (3 * -4 + x * -4) + 5 = 4(3 + x) (-12 + -4x) + 5 = 4(3 + x) Reorder the terms: -12 + 5 + -4x = 4(3 + x) Combine like terms: -12 + 5 = -7 -7 + -4x = 4(3 + x) -7 + -4x = (3 * 4 + x * 4) -7 + -4x = (12 + 4x) Solving -7 + -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. -7 + -4x + -4x = 12 + 4x + -4x Combine like terms: -4x + -4x = -8x -7 + -8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -8x = 12 + 0 -7 + -8x = 12 Add '7' to each side of the equation. -7 + 7 + -8x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 12 + 7 -8x = 12 + 7 Combine like terms: 12 + 7 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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