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Simplifying 6x + -1(3 + -5(2 + 3x)) = 4(3x + -8) + -15 6x + -1(3 + (2 * -5 + 3x * -5)) = 4(3x + -8) + -15 6x + -1(3 + (-10 + -15x)) = 4(3x + -8) + -15 Combine like terms: 3 + -10 = -7 6x + -1(-7 + -15x) = 4(3x + -8) + -15 6x + (-7 * -1 + -15x * -1) = 4(3x + -8) + -15 6x + (7 + 15x) = 4(3x + -8) + -15 Reorder the terms: 7 + 6x + 15x = 4(3x + -8) + -15 Combine like terms: 6x + 15x = 21x 7 + 21x = 4(3x + -8) + -15 Reorder the terms: 7 + 21x = 4(-8 + 3x) + -15 7 + 21x = (-8 * 4 + 3x * 4) + -15 7 + 21x = (-32 + 12x) + -15 Reorder the terms: 7 + 21x = -32 + -15 + 12x Combine like terms: -32 + -15 = -47 7 + 21x = -47 + 12x Solving 7 + 21x = -47 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 21x + -12x = -47 + 12x + -12x Combine like terms: 21x + -12x = 9x 7 + 9x = -47 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 9x = -47 + 0 7 + 9x = -47 Add '-7' to each side of the equation. 7 + -7 + 9x = -47 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -47 + -7 9x = -47 + -7 Combine like terms: -47 + -7 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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