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Simplifying -4x + -3(3x + -4) + 5 = 3(3x + 5) * 4 Reorder the terms: -4x + -3(-4 + 3x) + 5 = 3(3x + 5) * 4 -4x + (-4 * -3 + 3x * -3) + 5 = 3(3x + 5) * 4 -4x + (12 + -9x) + 5 = 3(3x + 5) * 4 Reorder the terms: 12 + 5 + -4x + -9x = 3(3x + 5) * 4 Combine like terms: 12 + 5 = 17 17 + -4x + -9x = 3(3x + 5) * 4 Combine like terms: -4x + -9x = -13x 17 + -13x = 3(3x + 5) * 4 Reorder the terms: 17 + -13x = 3(5 + 3x) * 4 Reorder the terms for easier multiplication: 17 + -13x = 3 * 4(5 + 3x) Multiply 3 * 4 17 + -13x = 12(5 + 3x) 17 + -13x = (5 * 12 + 3x * 12) 17 + -13x = (60 + 36x) Solving 17 + -13x = 60 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 17 + -13x + -36x = 60 + 36x + -36x Combine like terms: -13x + -36x = -49x 17 + -49x = 60 + 36x + -36x Combine like terms: 36x + -36x = 0 17 + -49x = 60 + 0 17 + -49x = 60 Add '-17' to each side of the equation. 17 + -17 + -49x = 60 + -17 Combine like terms: 17 + -17 = 0 0 + -49x = 60 + -17 -49x = 60 + -17 Combine like terms: 60 + -17 = 43 -49x = 43 Divide each side by '-49'. x = -0.8775510204 Simplifying x = -0.8775510204
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