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Simplifying -7x + -20 = 6(-4x + 8) Reorder the terms: -20 + -7x = 6(-4x + 8) Reorder the terms: -20 + -7x = 6(8 + -4x) -20 + -7x = (8 * 6 + -4x * 6) -20 + -7x = (48 + -24x) Solving -20 + -7x = 48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -20 + -7x + 24x = 48 + -24x + 24x Combine like terms: -7x + 24x = 17x -20 + 17x = 48 + -24x + 24x Combine like terms: -24x + 24x = 0 -20 + 17x = 48 + 0 -20 + 17x = 48 Add '20' to each side of the equation. -20 + 20 + 17x = 48 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 48 + 20 17x = 48 + 20 Combine like terms: 48 + 20 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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