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Simplifying 3x + -2(x + 3) = 4x + -7 Reorder the terms: 3x + -2(3 + x) = 4x + -7 3x + (3 * -2 + x * -2) = 4x + -7 3x + (-6 + -2x) = 4x + -7 Reorder the terms: -6 + 3x + -2x = 4x + -7 Combine like terms: 3x + -2x = 1x -6 + 1x = 4x + -7 Reorder the terms: -6 + 1x = -7 + 4x Solving -6 + 1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x -6 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -3x = -7 + 0 -6 + -3x = -7 Add '6' to each side of the equation. -6 + 6 + -3x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -7 + 6 -3x = -7 + 6 Combine like terms: -7 + 6 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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