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Simplifying 2(4x + -4) = 7(x + -3) Reorder the terms: 2(-4 + 4x) = 7(x + -3) (-4 * 2 + 4x * 2) = 7(x + -3) (-8 + 8x) = 7(x + -3) Reorder the terms: -8 + 8x = 7(-3 + x) -8 + 8x = (-3 * 7 + x * 7) -8 + 8x = (-21 + 7x) Solving -8 + 8x = -21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 8x + -7x = -21 + 7x + -7x Combine like terms: 8x + -7x = 1x -8 + 1x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 1x = -21 + 0 -8 + 1x = -21 Add '8' to each side of the equation. -8 + 8 + 1x = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -21 + 8 1x = -21 + 8 Combine like terms: -21 + 8 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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