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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 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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