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Simplifying 4(x + -6) + 1 = 2x + -7 Reorder the terms: 4(-6 + x) + 1 = 2x + -7 (-6 * 4 + x * 4) + 1 = 2x + -7 (-24 + 4x) + 1 = 2x + -7 Reorder the terms: -24 + 1 + 4x = 2x + -7 Combine like terms: -24 + 1 = -23 -23 + 4x = 2x + -7 Reorder the terms: -23 + 4x = -7 + 2x Solving -23 + 4x = -7 + 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. -23 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x -23 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 2x = -7 + 0 -23 + 2x = -7 Add '23' to each side of the equation. -23 + 23 + 2x = -7 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -7 + 23 2x = -7 + 23 Combine like terms: -7 + 23 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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