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Simplifying 7(x + -6) = 4(x + 4) + 2x + 1 Reorder the terms: 7(-6 + x) = 4(x + 4) + 2x + 1 (-6 * 7 + x * 7) = 4(x + 4) + 2x + 1 (-42 + 7x) = 4(x + 4) + 2x + 1 Reorder the terms: -42 + 7x = 4(4 + x) + 2x + 1 -42 + 7x = (4 * 4 + x * 4) + 2x + 1 -42 + 7x = (16 + 4x) + 2x + 1 Reorder the terms: -42 + 7x = 16 + 1 + 4x + 2x Combine like terms: 16 + 1 = 17 -42 + 7x = 17 + 4x + 2x Combine like terms: 4x + 2x = 6x -42 + 7x = 17 + 6x Solving -42 + 7x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + 7x + -6x = 17 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x = 17 + 0 -42 + 1x = 17 Add '42' to each side of the equation. -42 + 42 + 1x = 17 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 17 + 42 1x = 17 + 42 Combine like terms: 17 + 42 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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