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Simplifying 8 + -3[2x + 5(3x + -8)] = 7x + -9(x + -4) Reorder the terms: 8 + -3[2x + 5(-8 + 3x)] = 7x + -9(x + -4) 8 + -3[2x + (-8 * 5 + 3x * 5)] = 7x + -9(x + -4) 8 + -3[2x + (-40 + 15x)] = 7x + -9(x + -4) Reorder the terms: 8 + -3[-40 + 2x + 15x] = 7x + -9(x + -4) Combine like terms: 2x + 15x = 17x 8 + -3[-40 + 17x] = 7x + -9(x + -4) 8 + [-40 * -3 + 17x * -3] = 7x + -9(x + -4) 8 + [120 + -51x] = 7x + -9(x + -4) Combine like terms: 8 + 120 = 128 128 + -51x = 7x + -9(x + -4) Reorder the terms: 128 + -51x = 7x + -9(-4 + x) 128 + -51x = 7x + (-4 * -9 + x * -9) 128 + -51x = 7x + (36 + -9x) Reorder the terms: 128 + -51x = 36 + 7x + -9x Combine like terms: 7x + -9x = -2x 128 + -51x = 36 + -2x Solving 128 + -51x = 36 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 128 + -51x + 2x = 36 + -2x + 2x Combine like terms: -51x + 2x = -49x 128 + -49x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 128 + -49x = 36 + 0 128 + -49x = 36 Add '-128' to each side of the equation. 128 + -128 + -49x = 36 + -128 Combine like terms: 128 + -128 = 0 0 + -49x = 36 + -128 -49x = 36 + -128 Combine like terms: 36 + -128 = -92 -49x = -92 Divide each side by '-49'. x = 1.87755102 Simplifying x = 1.87755102
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