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Simplifying 7(x + 2) + -3x + -1 = 6(x + 4) + -4x + 3 Reorder the terms: 7(2 + x) + -3x + -1 = 6(x + 4) + -4x + 3 (2 * 7 + x * 7) + -3x + -1 = 6(x + 4) + -4x + 3 (14 + 7x) + -3x + -1 = 6(x + 4) + -4x + 3 Reorder the terms: 14 + -1 + 7x + -3x = 6(x + 4) + -4x + 3 Combine like terms: 14 + -1 = 13 13 + 7x + -3x = 6(x + 4) + -4x + 3 Combine like terms: 7x + -3x = 4x 13 + 4x = 6(x + 4) + -4x + 3 Reorder the terms: 13 + 4x = 6(4 + x) + -4x + 3 13 + 4x = (4 * 6 + x * 6) + -4x + 3 13 + 4x = (24 + 6x) + -4x + 3 Reorder the terms: 13 + 4x = 24 + 3 + 6x + -4x Combine like terms: 24 + 3 = 27 13 + 4x = 27 + 6x + -4x Combine like terms: 6x + -4x = 2x 13 + 4x = 27 + 2x Solving 13 + 4x = 27 + 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. 13 + 4x + -2x = 27 + 2x + -2x Combine like terms: 4x + -2x = 2x 13 + 2x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 2x = 27 + 0 13 + 2x = 27 Add '-13' to each side of the equation. 13 + -13 + 2x = 27 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 27 + -13 2x = 27 + -13 Combine like terms: 27 + -13 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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