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Simplifying 5 + 2(4x + -3) = 7(x + 1) Reorder the terms: 5 + 2(-3 + 4x) = 7(x + 1) 5 + (-3 * 2 + 4x * 2) = 7(x + 1) 5 + (-6 + 8x) = 7(x + 1) Combine like terms: 5 + -6 = -1 -1 + 8x = 7(x + 1) Reorder the terms: -1 + 8x = 7(1 + x) -1 + 8x = (1 * 7 + x * 7) -1 + 8x = (7 + 7x) Solving -1 + 8x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 8x + -7x = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x -1 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 1x = 7 + 0 -1 + 1x = 7 Add '1' to each side of the equation. -1 + 1 + 1x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 7 + 1 1x = 7 + 1 Combine like terms: 7 + 1 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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