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Simplifying 3x + 7 + -2(x + -3) = 4x + -7 Reorder the terms: 3x + 7 + -2(-3 + x) = 4x + -7 3x + 7 + (-3 * -2 + x * -2) = 4x + -7 3x + 7 + (6 + -2x) = 4x + -7 Reorder the terms: 7 + 6 + 3x + -2x = 4x + -7 Combine like terms: 7 + 6 = 13 13 + 3x + -2x = 4x + -7 Combine like terms: 3x + -2x = 1x 13 + 1x = 4x + -7 Reorder the terms: 13 + 1x = -7 + 4x Solving 13 + 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. 13 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x 13 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -3x = -7 + 0 13 + -3x = -7 Add '-13' to each side of the equation. 13 + -13 + -3x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -7 + -13 -3x = -7 + -13 Combine like terms: -7 + -13 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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