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Simplifying 2(7x + -3) = (4x + 5) * 4 Reorder the terms: 2(-3 + 7x) = (4x + 5) * 4 (-3 * 2 + 7x * 2) = (4x + 5) * 4 (-6 + 14x) = (4x + 5) * 4 Reorder the terms: -6 + 14x = (5 + 4x) * 4 Reorder the terms for easier multiplication: -6 + 14x = 4(5 + 4x) -6 + 14x = (5 * 4 + 4x * 4) -6 + 14x = (20 + 16x) Solving -6 + 14x = 20 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6 + 14x + -16x = 20 + 16x + -16x Combine like terms: 14x + -16x = -2x -6 + -2x = 20 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -2x = 20 + 0 -6 + -2x = 20 Add '6' to each side of the equation. -6 + 6 + -2x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 20 + 6 -2x = 20 + 6 Combine like terms: 20 + 6 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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