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Simplifying 5(4x) + 4(12) + -20x = -2(4x + 2) + 4 Remove parenthesis around (4x) 5 * 4x + 4(12) + -20x = -2(4x + 2) + 4 Multiply 5 * 4 20x + 4(12) + -20x = -2(4x + 2) + 4 Multiply 4 * 12 20x + 48 + -20x = -2(4x + 2) + 4 Reorder the terms: 48 + 20x + -20x = -2(4x + 2) + 4 Combine like terms: 20x + -20x = 0 48 + 0 = -2(4x + 2) + 4 48 = -2(4x + 2) + 4 Reorder the terms: 48 = -2(2 + 4x) + 4 48 = (2 * -2 + 4x * -2) + 4 48 = (-4 + -8x) + 4 Reorder the terms: 48 = -4 + 4 + -8x Combine like terms: -4 + 4 = 0 48 = 0 + -8x 48 = -8x Solving 48 = -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. 48 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 48 + 8x = 0 Add '-48' to each side of the equation. 48 + -48 + 8x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 0 + -48 8x = 0 + -48 Combine like terms: 0 + -48 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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