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Simplifying -47 = 4(x + -4) + 9 Reorder the terms: -47 = 4(-4 + x) + 9 -47 = (-4 * 4 + x * 4) + 9 -47 = (-16 + 4x) + 9 Reorder the terms: -47 = -16 + 9 + 4x Combine like terms: -16 + 9 = -7 -47 = -7 + 4x Solving -47 = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -47 + -4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -47 + -4x = -7 + 0 -47 + -4x = -7 Add '47' to each side of the equation. -47 + 47 + -4x = -7 + 47 Combine like terms: -47 + 47 = 0 0 + -4x = -7 + 47 -4x = -7 + 47 Combine like terms: -7 + 47 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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