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Simplifying 2x + 4[5x + -2(x + 1) + -7] = x + 3 Reorder the terms: 2x + 4[5x + -2(1 + x) + -7] = x + 3 2x + 4[5x + (1 * -2 + x * -2) + -7] = x + 3 2x + 4[5x + (-2 + -2x) + -7] = x + 3 Reorder the terms: 2x + 4[-2 + -7 + 5x + -2x] = x + 3 Combine like terms: -2 + -7 = -9 2x + 4[-9 + 5x + -2x] = x + 3 Combine like terms: 5x + -2x = 3x 2x + 4[-9 + 3x] = x + 3 2x + [-9 * 4 + 3x * 4] = x + 3 2x + [-36 + 12x] = x + 3 Reorder the terms: -36 + 2x + 12x = x + 3 Combine like terms: 2x + 12x = 14x -36 + 14x = x + 3 Reorder the terms: -36 + 14x = 3 + x Solving -36 + 14x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -36 + 14x + -1x = 3 + x + -1x Combine like terms: 14x + -1x = 13x -36 + 13x = 3 + x + -1x Combine like terms: x + -1x = 0 -36 + 13x = 3 + 0 -36 + 13x = 3 Add '36' to each side of the equation. -36 + 36 + 13x = 3 + 36 Combine like terms: -36 + 36 = 0 0 + 13x = 3 + 36 13x = 3 + 36 Combine like terms: 3 + 36 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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