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Simplifying 4x + -1[2x + -7] + 5 = 3x + 1 Reorder the terms: 4x + -1[-7 + 2x] + 5 = 3x + 1 4x + [-7 * -1 + 2x * -1] + 5 = 3x + 1 4x + [7 + -2x] + 5 = 3x + 1 Reorder the terms: 7 + 5 + 4x + -2x = 3x + 1 Combine like terms: 7 + 5 = 12 12 + 4x + -2x = 3x + 1 Combine like terms: 4x + -2x = 2x 12 + 2x = 3x + 1 Reorder the terms: 12 + 2x = 1 + 3x Solving 12 + 2x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = 1 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = 1 + 0 12 + -1x = 1 Add '-12' to each side of the equation. 12 + -12 + -1x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 1 + -12 -1x = 1 + -12 Combine like terms: 1 + -12 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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