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Simplifying 7x + 40 = -8(2x + -7) + 7x Reorder the terms: 40 + 7x = -8(2x + -7) + 7x Reorder the terms: 40 + 7x = -8(-7 + 2x) + 7x 40 + 7x = (-7 * -8 + 2x * -8) + 7x 40 + 7x = (56 + -16x) + 7x Combine like terms: -16x + 7x = -9x 40 + 7x = 56 + -9x Solving 40 + 7x = 56 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 40 + 7x + 9x = 56 + -9x + 9x Combine like terms: 7x + 9x = 16x 40 + 16x = 56 + -9x + 9x Combine like terms: -9x + 9x = 0 40 + 16x = 56 + 0 40 + 16x = 56 Add '-40' to each side of the equation. 40 + -40 + 16x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = 56 + -40 16x = 56 + -40 Combine like terms: 56 + -40 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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