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Simplifying 4(-2x + -7) = 4(6x + 4) Reorder the terms: 4(-7 + -2x) = 4(6x + 4) (-7 * 4 + -2x * 4) = 4(6x + 4) (-28 + -8x) = 4(6x + 4) Reorder the terms: -28 + -8x = 4(4 + 6x) -28 + -8x = (4 * 4 + 6x * 4) -28 + -8x = (16 + 24x) Solving -28 + -8x = 16 + 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 = 16 + 24x + -24x Combine like terms: -8x + -24x = -32x -28 + -32x = 16 + 24x + -24x Combine like terms: 24x + -24x = 0 -28 + -32x = 16 + 0 -28 + -32x = 16 Add '28' to each side of the equation. -28 + 28 + -32x = 16 + 28 Combine like terms: -28 + 28 = 0 0 + -32x = 16 + 28 -32x = 16 + 28 Combine like terms: 16 + 28 = 44 -32x = 44 Divide each side by '-32'. x = -1.375 Simplifying x = -1.375
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