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Simplifying -4x + -47 = 3(x + -4) Reorder the terms: -47 + -4x = 3(x + -4) Reorder the terms: -47 + -4x = 3(-4 + x) -47 + -4x = (-4 * 3 + x * 3) -47 + -4x = (-12 + 3x) Solving -47 + -4x = -12 + 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. -47 + -4x + -3x = -12 + 3x + -3x Combine like terms: -4x + -3x = -7x -47 + -7x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + -7x = -12 + 0 -47 + -7x = -12 Add '47' to each side of the equation. -47 + 47 + -7x = -12 + 47 Combine like terms: -47 + 47 = 0 0 + -7x = -12 + 47 -7x = -12 + 47 Combine like terms: -12 + 47 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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