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Simplifying 40 + -8x = -7x + -4(x + -4) Reorder the terms: 40 + -8x = -7x + -4(-4 + x) 40 + -8x = -7x + (-4 * -4 + x * -4) 40 + -8x = -7x + (16 + -4x) Reorder the terms: 40 + -8x = 16 + -7x + -4x Combine like terms: -7x + -4x = -11x 40 + -8x = 16 + -11x Solving 40 + -8x = 16 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 40 + -8x + 11x = 16 + -11x + 11x Combine like terms: -8x + 11x = 3x 40 + 3x = 16 + -11x + 11x Combine like terms: -11x + 11x = 0 40 + 3x = 16 + 0 40 + 3x = 16 Add '-40' to each side of the equation. 40 + -40 + 3x = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 16 + -40 3x = 16 + -40 Combine like terms: 16 + -40 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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