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Simplifying -10 + 5(3x + -2) + 4 = 3(-7x + 8) + 13 + -7 Reorder the terms: -10 + 5(-2 + 3x) + 4 = 3(-7x + 8) + 13 + -7 -10 + (-2 * 5 + 3x * 5) + 4 = 3(-7x + 8) + 13 + -7 -10 + (-10 + 15x) + 4 = 3(-7x + 8) + 13 + -7 Reorder the terms: -10 + -10 + 4 + 15x = 3(-7x + 8) + 13 + -7 Combine like terms: -10 + -10 = -20 -20 + 4 + 15x = 3(-7x + 8) + 13 + -7 Combine like terms: -20 + 4 = -16 -16 + 15x = 3(-7x + 8) + 13 + -7 Reorder the terms: -16 + 15x = 3(8 + -7x) + 13 + -7 -16 + 15x = (8 * 3 + -7x * 3) + 13 + -7 -16 + 15x = (24 + -21x) + 13 + -7 Reorder the terms: -16 + 15x = 24 + 13 + -7 + -21x Combine like terms: 24 + 13 = 37 -16 + 15x = 37 + -7 + -21x Combine like terms: 37 + -7 = 30 -16 + 15x = 30 + -21x Solving -16 + 15x = 30 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -16 + 15x + 21x = 30 + -21x + 21x Combine like terms: 15x + 21x = 36x -16 + 36x = 30 + -21x + 21x Combine like terms: -21x + 21x = 0 -16 + 36x = 30 + 0 -16 + 36x = 30 Add '16' to each side of the equation. -16 + 16 + 36x = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 36x = 30 + 16 36x = 30 + 16 Combine like terms: 30 + 16 = 46 36x = 46 Divide each side by '36'. x = 1.277777778 Simplifying x = 1.277777778
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