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Simplifying -3(x + 6) + 4 = 5(x + 3) + 4 Reorder the terms: -3(6 + x) + 4 = 5(x + 3) + 4 (6 * -3 + x * -3) + 4 = 5(x + 3) + 4 (-18 + -3x) + 4 = 5(x + 3) + 4 Reorder the terms: -18 + 4 + -3x = 5(x + 3) + 4 Combine like terms: -18 + 4 = -14 -14 + -3x = 5(x + 3) + 4 Reorder the terms: -14 + -3x = 5(3 + x) + 4 -14 + -3x = (3 * 5 + x * 5) + 4 -14 + -3x = (15 + 5x) + 4 Reorder the terms: -14 + -3x = 15 + 4 + 5x Combine like terms: 15 + 4 = 19 -14 + -3x = 19 + 5x Solving -14 + -3x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + -3x + -5x = 19 + 5x + -5x Combine like terms: -3x + -5x = -8x -14 + -8x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -8x = 19 + 0 -14 + -8x = 19 Add '14' to each side of the equation. -14 + 14 + -8x = 19 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 19 + 14 -8x = 19 + 14 Combine like terms: 19 + 14 = 33 -8x = 33 Divide each side by '-8'. x = -4.125 Simplifying x = -4.125
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