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Simplifying 4 + -2(3x + 4) = 2x + 4(x + -7) Reorder the terms: 4 + -2(4 + 3x) = 2x + 4(x + -7) 4 + (4 * -2 + 3x * -2) = 2x + 4(x + -7) 4 + (-8 + -6x) = 2x + 4(x + -7) Combine like terms: 4 + -8 = -4 -4 + -6x = 2x + 4(x + -7) Reorder the terms: -4 + -6x = 2x + 4(-7 + x) -4 + -6x = 2x + (-7 * 4 + x * 4) -4 + -6x = 2x + (-28 + 4x) Reorder the terms: -4 + -6x = -28 + 2x + 4x Combine like terms: 2x + 4x = 6x -4 + -6x = -28 + 6x Solving -4 + -6x = -28 + 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. -4 + -6x + -6x = -28 + 6x + -6x Combine like terms: -6x + -6x = -12x -4 + -12x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -12x = -28 + 0 -4 + -12x = -28 Add '4' to each side of the equation. -4 + 4 + -12x = -28 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = -28 + 4 -12x = -28 + 4 Combine like terms: -28 + 4 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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