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Simplifying 7(x + -4) + 4 = 7x + -4(4 + -1x) Reorder the terms: 7(-4 + x) + 4 = 7x + -4(4 + -1x) (-4 * 7 + x * 7) + 4 = 7x + -4(4 + -1x) (-28 + 7x) + 4 = 7x + -4(4 + -1x) Reorder the terms: -28 + 4 + 7x = 7x + -4(4 + -1x) Combine like terms: -28 + 4 = -24 -24 + 7x = 7x + -4(4 + -1x) -24 + 7x = 7x + (4 * -4 + -1x * -4) -24 + 7x = 7x + (-16 + 4x) Reorder the terms: -24 + 7x = -16 + 7x + 4x Combine like terms: 7x + 4x = 11x -24 + 7x = -16 + 11x Solving -24 + 7x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -24 + 7x + -11x = -16 + 11x + -11x Combine like terms: 7x + -11x = -4x -24 + -4x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -4x = -16 + 0 -24 + -4x = -16 Add '24' to each side of the equation. -24 + 24 + -4x = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = -16 + 24 -4x = -16 + 24 Combine like terms: -16 + 24 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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