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Simplifying 7(x + -6) + 5 + 1 = 2(x + 3 + -7 + 5) + 1 Reorder the terms: 7(-6 + x) + 5 + 1 = 2(x + 3 + -7 + 5) + 1 (-6 * 7 + x * 7) + 5 + 1 = 2(x + 3 + -7 + 5) + 1 (-42 + 7x) + 5 + 1 = 2(x + 3 + -7 + 5) + 1 Reorder the terms: -42 + 5 + 1 + 7x = 2(x + 3 + -7 + 5) + 1 Combine like terms: -42 + 5 = -37 -37 + 1 + 7x = 2(x + 3 + -7 + 5) + 1 Combine like terms: -37 + 1 = -36 -36 + 7x = 2(x + 3 + -7 + 5) + 1 Reorder the terms: -36 + 7x = 2(3 + -7 + 5 + x) + 1 Combine like terms: 3 + -7 = -4 -36 + 7x = 2(-4 + 5 + x) + 1 Combine like terms: -4 + 5 = 1 -36 + 7x = 2(1 + x) + 1 -36 + 7x = (1 * 2 + x * 2) + 1 -36 + 7x = (2 + 2x) + 1 Reorder the terms: -36 + 7x = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 -36 + 7x = 3 + 2x Solving -36 + 7x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 7x + -2x = 3 + 2x + -2x Combine like terms: 7x + -2x = 5x -36 + 5x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 5x = 3 + 0 -36 + 5x = 3 Add '36' to each side of the equation. -36 + 36 + 5x = 3 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = 3 + 36 5x = 3 + 36 Combine like terms: 3 + 36 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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