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Simplifying 6(x + -5) + -7(3x + -2) = 32 + -3x Reorder the terms: 6(-5 + x) + -7(3x + -2) = 32 + -3x (-5 * 6 + x * 6) + -7(3x + -2) = 32 + -3x (-30 + 6x) + -7(3x + -2) = 32 + -3x Reorder the terms: -30 + 6x + -7(-2 + 3x) = 32 + -3x -30 + 6x + (-2 * -7 + 3x * -7) = 32 + -3x -30 + 6x + (14 + -21x) = 32 + -3x Reorder the terms: -30 + 14 + 6x + -21x = 32 + -3x Combine like terms: -30 + 14 = -16 -16 + 6x + -21x = 32 + -3x Combine like terms: 6x + -21x = -15x -16 + -15x = 32 + -3x Solving -16 + -15x = 32 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -16 + -15x + 3x = 32 + -3x + 3x Combine like terms: -15x + 3x = -12x -16 + -12x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -16 + -12x = 32 + 0 -16 + -12x = 32 Add '16' to each side of the equation. -16 + 16 + -12x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = 32 + 16 -12x = 32 + 16 Combine like terms: 32 + 16 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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