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Simplifying 40 + -7x = -8(x + -5) + -7 Reorder the terms: 40 + -7x = -8(-5 + x) + -7 40 + -7x = (-5 * -8 + x * -8) + -7 40 + -7x = (40 + -8x) + -7 Reorder the terms: 40 + -7x = 40 + -7 + -8x Combine like terms: 40 + -7 = 33 40 + -7x = 33 + -8x Solving 40 + -7x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + -7x + 8x = 33 + -8x + 8x Combine like terms: -7x + 8x = 1x 40 + 1x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + 1x = 33 + 0 40 + 1x = 33 Add '-40' to each side of the equation. 40 + -40 + 1x = 33 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 33 + -40 1x = 33 + -40 Combine like terms: 33 + -40 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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