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