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Simplifying 4(-12 + 1) + -8 = -16(3x + -5) + -84 Combine like terms: -12 + 1 = -11 4(-11) + -8 = -16(3x + -5) + -84 Multiply 4 * -11 -44 + -8 = -16(3x + -5) + -84 Combine like terms: -44 + -8 = -52 -52 = -16(3x + -5) + -84 Reorder the terms: -52 = -16(-5 + 3x) + -84 -52 = (-5 * -16 + 3x * -16) + -84 -52 = (80 + -48x) + -84 Reorder the terms: -52 = 80 + -84 + -48x Combine like terms: 80 + -84 = -4 -52 = -4 + -48x Solving -52 = -4 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -52 + 48x = -4 + -48x + 48x Combine like terms: -48x + 48x = 0 -52 + 48x = -4 + 0 -52 + 48x = -4 Add '52' to each side of the equation. -52 + 52 + 48x = -4 + 52 Combine like terms: -52 + 52 = 0 0 + 48x = -4 + 52 48x = -4 + 52 Combine like terms: -4 + 52 = 48 48x = 48 Divide each side by '48'. x = 1 Simplifying x = 1
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