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Simplifying -40 + 7x = -4(1 + -4x) -40 + 7x = (1 * -4 + -4x * -4) -40 + 7x = (-4 + 16x) Solving -40 + 7x = -4 + 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. -40 + 7x + -16x = -4 + 16x + -16x Combine like terms: 7x + -16x = -9x -40 + -9x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 -40 + -9x = -4 + 0 -40 + -9x = -4 Add '40' to each side of the equation. -40 + 40 + -9x = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -9x = -4 + 40 -9x = -4 + 40 Combine like terms: -4 + 40 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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