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Simplifying 15x + -4(3x + 8) + -23 = -47 Reorder the terms: 15x + -4(8 + 3x) + -23 = -47 15x + (8 * -4 + 3x * -4) + -23 = -47 15x + (-32 + -12x) + -23 = -47 Reorder the terms: -32 + -23 + 15x + -12x = -47 Combine like terms: -32 + -23 = -55 -55 + 15x + -12x = -47 Combine like terms: 15x + -12x = 3x -55 + 3x = -47 Solving -55 + 3x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 3x = -47 + 55 Combine like terms: -55 + 55 = 0 0 + 3x = -47 + 55 3x = -47 + 55 Combine like terms: -47 + 55 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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