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Simplifying 1 + -7(4x + 1) = 6(-2x + -3) + -4 Reorder the terms: 1 + -7(1 + 4x) = 6(-2x + -3) + -4 1 + (1 * -7 + 4x * -7) = 6(-2x + -3) + -4 1 + (-7 + -28x) = 6(-2x + -3) + -4 Combine like terms: 1 + -7 = -6 -6 + -28x = 6(-2x + -3) + -4 Reorder the terms: -6 + -28x = 6(-3 + -2x) + -4 -6 + -28x = (-3 * 6 + -2x * 6) + -4 -6 + -28x = (-18 + -12x) + -4 Reorder the terms: -6 + -28x = -18 + -4 + -12x Combine like terms: -18 + -4 = -22 -6 + -28x = -22 + -12x Solving -6 + -28x = -22 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + -28x + 12x = -22 + -12x + 12x Combine like terms: -28x + 12x = -16x -6 + -16x = -22 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + -16x = -22 + 0 -6 + -16x = -22 Add '6' to each side of the equation. -6 + 6 + -16x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = -22 + 6 -16x = -22 + 6 Combine like terms: -22 + 6 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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