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