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Simplifying 4(x + -3) + -2 = 3x + 1 Reorder the terms: 4(-3 + x) + -2 = 3x + 1 (-3 * 4 + x * 4) + -2 = 3x + 1 (-12 + 4x) + -2 = 3x + 1 Reorder the terms: -12 + -2 + 4x = 3x + 1 Combine like terms: -12 + -2 = -14 -14 + 4x = 3x + 1 Reorder the terms: -14 + 4x = 1 + 3x Solving -14 + 4x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -14 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 1x = 1 + 0 -14 + 1x = 1 Add '14' to each side of the equation. -14 + 14 + 1x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 1 + 14 1x = 1 + 14 Combine like terms: 1 + 14 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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