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Simplifying 3(x + -2) + x = 7(2x + 1) + -3 Reorder the terms: 3(-2 + x) + x = 7(2x + 1) + -3 (-2 * 3 + x * 3) + x = 7(2x + 1) + -3 (-6 + 3x) + x = 7(2x + 1) + -3 Combine like terms: 3x + x = 4x -6 + 4x = 7(2x + 1) + -3 Reorder the terms: -6 + 4x = 7(1 + 2x) + -3 -6 + 4x = (1 * 7 + 2x * 7) + -3 -6 + 4x = (7 + 14x) + -3 Reorder the terms: -6 + 4x = 7 + -3 + 14x Combine like terms: 7 + -3 = 4 -6 + 4x = 4 + 14x Solving -6 + 4x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 4x + -14x = 4 + 14x + -14x Combine like terms: 4x + -14x = -10x -6 + -10x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -10x = 4 + 0 -6 + -10x = 4 Add '6' to each side of the equation. -6 + 6 + -10x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 4 + 6 -10x = 4 + 6 Combine like terms: 4 + 6 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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