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Simplifying 4(6x + -7) = 4(4x + 8) Reorder the terms: 4(-7 + 6x) = 4(4x + 8) (-7 * 4 + 6x * 4) = 4(4x + 8) (-28 + 24x) = 4(4x + 8) Reorder the terms: -28 + 24x = 4(8 + 4x) -28 + 24x = (8 * 4 + 4x * 4) -28 + 24x = (32 + 16x) Solving -28 + 24x = 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. -28 + 24x + -16x = 32 + 16x + -16x Combine like terms: 24x + -16x = 8x -28 + 8x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -28 + 8x = 32 + 0 -28 + 8x = 32 Add '28' to each side of the equation. -28 + 28 + 8x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 32 + 28 8x = 32 + 28 Combine like terms: 32 + 28 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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