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Simplifying 3(x + 2) + 3x + 1 = 2(x + -1) + -7 Reorder the terms: 3(2 + x) + 3x + 1 = 2(x + -1) + -7 (2 * 3 + x * 3) + 3x + 1 = 2(x + -1) + -7 (6 + 3x) + 3x + 1 = 2(x + -1) + -7 Reorder the terms: 6 + 1 + 3x + 3x = 2(x + -1) + -7 Combine like terms: 6 + 1 = 7 7 + 3x + 3x = 2(x + -1) + -7 Combine like terms: 3x + 3x = 6x 7 + 6x = 2(x + -1) + -7 Reorder the terms: 7 + 6x = 2(-1 + x) + -7 7 + 6x = (-1 * 2 + x * 2) + -7 7 + 6x = (-2 + 2x) + -7 Reorder the terms: 7 + 6x = -2 + -7 + 2x Combine like terms: -2 + -7 = -9 7 + 6x = -9 + 2x Solving 7 + 6x = -9 + 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. 7 + 6x + -2x = -9 + 2x + -2x Combine like terms: 6x + -2x = 4x 7 + 4x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 4x = -9 + 0 7 + 4x = -9 Add '-7' to each side of the equation. 7 + -7 + 4x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -9 + -7 4x = -9 + -7 Combine like terms: -9 + -7 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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