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Simplifying 6(-4 + x) + -4 = -7x + -4(2x + 5) (-4 * 6 + x * 6) + -4 = -7x + -4(2x + 5) (-24 + 6x) + -4 = -7x + -4(2x + 5) Reorder the terms: -24 + -4 + 6x = -7x + -4(2x + 5) Combine like terms: -24 + -4 = -28 -28 + 6x = -7x + -4(2x + 5) Reorder the terms: -28 + 6x = -7x + -4(5 + 2x) -28 + 6x = -7x + (5 * -4 + 2x * -4) -28 + 6x = -7x + (-20 + -8x) Reorder the terms: -28 + 6x = -20 + -7x + -8x Combine like terms: -7x + -8x = -15x -28 + 6x = -20 + -15x Solving -28 + 6x = -20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -28 + 6x + 15x = -20 + -15x + 15x Combine like terms: 6x + 15x = 21x -28 + 21x = -20 + -15x + 15x Combine like terms: -15x + 15x = 0 -28 + 21x = -20 + 0 -28 + 21x = -20 Add '28' to each side of the equation. -28 + 28 + 21x = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 21x = -20 + 28 21x = -20 + 28 Combine like terms: -20 + 28 = 8 21x = 8 Divide each side by '21'. x = 0.380952381 Simplifying x = 0.380952381
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