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