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Simplifying -7(1 + 5x) + 3 = -8(4x + 5) (1 * -7 + 5x * -7) + 3 = -8(4x + 5) (-7 + -35x) + 3 = -8(4x + 5) Reorder the terms: -7 + 3 + -35x = -8(4x + 5) Combine like terms: -7 + 3 = -4 -4 + -35x = -8(4x + 5) Reorder the terms: -4 + -35x = -8(5 + 4x) -4 + -35x = (5 * -8 + 4x * -8) -4 + -35x = (-40 + -32x) Solving -4 + -35x = -40 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -4 + -35x + 32x = -40 + -32x + 32x Combine like terms: -35x + 32x = -3x -4 + -3x = -40 + -32x + 32x Combine like terms: -32x + 32x = 0 -4 + -3x = -40 + 0 -4 + -3x = -40 Add '4' to each side of the equation. -4 + 4 + -3x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = -40 + 4 -3x = -40 + 4 Combine like terms: -40 + 4 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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