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Simplifying 2(7x + -28) = 2(8x + 16) Reorder the terms: 2(-28 + 7x) = 2(8x + 16) (-28 * 2 + 7x * 2) = 2(8x + 16) (-56 + 14x) = 2(8x + 16) Reorder the terms: -56 + 14x = 2(16 + 8x) -56 + 14x = (16 * 2 + 8x * 2) -56 + 14x = (32 + 16x) Solving -56 + 14x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -56 + 14x + -16x = 32 + 16x + -16x Combine like terms: 14x + -16x = -2x -56 + -2x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -56 + -2x = 32 + 0 -56 + -2x = 32 Add '56' to each side of the equation. -56 + 56 + -2x = 32 + 56 Combine like terms: -56 + 56 = 0 0 + -2x = 32 + 56 -2x = 32 + 56 Combine like terms: 32 + 56 = 88 -2x = 88 Divide each side by '-2'. x = -44 Simplifying x = -44
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