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Simplifying 3[x + -7] + 4x = 5(x + 1) + x Reorder the terms: 3[-7 + x] + 4x = 5(x + 1) + x [-7 * 3 + x * 3] + 4x = 5(x + 1) + x [-21 + 3x] + 4x = 5(x + 1) + x Combine like terms: 3x + 4x = 7x -21 + 7x = 5(x + 1) + x Reorder the terms: -21 + 7x = 5(1 + x) + x -21 + 7x = (1 * 5 + x * 5) + x -21 + 7x = (5 + 5x) + x Combine like terms: 5x + x = 6x -21 + 7x = 5 + 6x Solving -21 + 7x = 5 + 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. -21 + 7x + -6x = 5 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = 5 + 0 -21 + 1x = 5 Add '21' to each side of the equation. -21 + 21 + 1x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 5 + 21 1x = 5 + 21 Combine like terms: 5 + 21 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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