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Simplifying 8x + -28 = 8(3x + 8) + 4 Reorder the terms: -28 + 8x = 8(3x + 8) + 4 Reorder the terms: -28 + 8x = 8(8 + 3x) + 4 -28 + 8x = (8 * 8 + 3x * 8) + 4 -28 + 8x = (64 + 24x) + 4 Reorder the terms: -28 + 8x = 64 + 4 + 24x Combine like terms: 64 + 4 = 68 -28 + 8x = 68 + 24x Solving -28 + 8x = 68 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -28 + 8x + -24x = 68 + 24x + -24x Combine like terms: 8x + -24x = -16x -28 + -16x = 68 + 24x + -24x Combine like terms: 24x + -24x = 0 -28 + -16x = 68 + 0 -28 + -16x = 68 Add '28' to each side of the equation. -28 + 28 + -16x = 68 + 28 Combine like terms: -28 + 28 = 0 0 + -16x = 68 + 28 -16x = 68 + 28 Combine like terms: 68 + 28 = 96 -16x = 96 Divide each side by '-16'. x = -6 Simplifying x = -6
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