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Simplifying 48 = -4(2x + -7) + -4(x + 4) Reorder the terms: 48 = -4(-7 + 2x) + -4(x + 4) 48 = (-7 * -4 + 2x * -4) + -4(x + 4) 48 = (28 + -8x) + -4(x + 4) Reorder the terms: 48 = 28 + -8x + -4(4 + x) 48 = 28 + -8x + (4 * -4 + x * -4) 48 = 28 + -8x + (-16 + -4x) Reorder the terms: 48 = 28 + -16 + -8x + -4x Combine like terms: 28 + -16 = 12 48 = 12 + -8x + -4x Combine like terms: -8x + -4x = -12x 48 = 12 + -12x Solving 48 = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 48 + 12x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 48 + 12x = 12 + 0 48 + 12x = 12 Add '-48' to each side of the equation. 48 + -48 + 12x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 12x = 12 + -48 12x = 12 + -48 Combine like terms: 12 + -48 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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