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Simplifying 4(x + 13) = 3x + -2 Reorder the terms: 4(13 + x) = 3x + -2 (13 * 4 + x * 4) = 3x + -2 (52 + 4x) = 3x + -2 Reorder the terms: 52 + 4x = -2 + 3x Solving 52 + 4x = -2 + 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. 52 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x 52 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + 1x = -2 + 0 52 + 1x = -2 Add '-52' to each side of the equation. 52 + -52 + 1x = -2 + -52 Combine like terms: 52 + -52 = 0 0 + 1x = -2 + -52 1x = -2 + -52 Combine like terms: -2 + -52 = -54 1x = -54 Divide each side by '1'. x = -54 Simplifying x = -54
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