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Simplifying 5[4x + -3(x + 7)] = 8x + -3 Reorder the terms: 5[4x + -3(7 + x)] = 8x + -3 5[4x + (7 * -3 + x * -3)] = 8x + -3 5[4x + (-21 + -3x)] = 8x + -3 Reorder the terms: 5[-21 + 4x + -3x] = 8x + -3 Combine like terms: 4x + -3x = 1x 5[-21 + 1x] = 8x + -3 [-21 * 5 + 1x * 5] = 8x + -3 [-105 + 5x] = 8x + -3 Reorder the terms: -105 + 5x = -3 + 8x Solving -105 + 5x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -105 + 5x + -8x = -3 + 8x + -8x Combine like terms: 5x + -8x = -3x -105 + -3x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -105 + -3x = -3 + 0 -105 + -3x = -3 Add '105' to each side of the equation. -105 + 105 + -3x = -3 + 105 Combine like terms: -105 + 105 = 0 0 + -3x = -3 + 105 -3x = -3 + 105 Combine like terms: -3 + 105 = 102 -3x = 102 Divide each side by '-3'. x = -34 Simplifying x = -34
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