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Simplifying -3[1x + 3] + 4 = 5[1x + 5] + 3 Reorder the terms: -3[3 + 1x] + 4 = 5[1x + 5] + 3 [3 * -3 + 1x * -3] + 4 = 5[1x + 5] + 3 [-9 + -3x] + 4 = 5[1x + 5] + 3 Reorder the terms: -9 + 4 + -3x = 5[1x + 5] + 3 Combine like terms: -9 + 4 = -5 -5 + -3x = 5[1x + 5] + 3 Reorder the terms: -5 + -3x = 5[5 + 1x] + 3 -5 + -3x = [5 * 5 + 1x * 5] + 3 -5 + -3x = [25 + 5x] + 3 Reorder the terms: -5 + -3x = 25 + 3 + 5x Combine like terms: 25 + 3 = 28 -5 + -3x = 28 + 5x Solving -5 + -3x = 28 + 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. -5 + -3x + -5x = 28 + 5x + -5x Combine like terms: -3x + -5x = -8x -5 + -8x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -8x = 28 + 0 -5 + -8x = 28 Add '5' to each side of the equation. -5 + 5 + -8x = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 28 + 5 -8x = 28 + 5 Combine like terms: 28 + 5 = 33 -8x = 33 Divide each side by '-8'. x = -4.125 Simplifying x = -4.125
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