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Simplifying 7(x + -4) + -4(x + 2) = 4(x + -4) Reorder the terms: 7(-4 + x) + -4(x + 2) = 4(x + -4) (-4 * 7 + x * 7) + -4(x + 2) = 4(x + -4) (-28 + 7x) + -4(x + 2) = 4(x + -4) Reorder the terms: -28 + 7x + -4(2 + x) = 4(x + -4) -28 + 7x + (2 * -4 + x * -4) = 4(x + -4) -28 + 7x + (-8 + -4x) = 4(x + -4) Reorder the terms: -28 + -8 + 7x + -4x = 4(x + -4) Combine like terms: -28 + -8 = -36 -36 + 7x + -4x = 4(x + -4) Combine like terms: 7x + -4x = 3x -36 + 3x = 4(x + -4) Reorder the terms: -36 + 3x = 4(-4 + x) -36 + 3x = (-4 * 4 + x * 4) -36 + 3x = (-16 + 4x) Solving -36 + 3x = -16 + 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. -36 + 3x + -4x = -16 + 4x + -4x Combine like terms: 3x + -4x = -1x -36 + -1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + -1x = -16 + 0 -36 + -1x = -16 Add '36' to each side of the equation. -36 + 36 + -1x = -16 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = -16 + 36 -1x = -16 + 36 Combine like terms: -16 + 36 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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