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Simplifying 7(4x + -6) + 9 = 7x + -5 Reorder the terms: 7(-6 + 4x) + 9 = 7x + -5 (-6 * 7 + 4x * 7) + 9 = 7x + -5 (-42 + 28x) + 9 = 7x + -5 Reorder the terms: -42 + 9 + 28x = 7x + -5 Combine like terms: -42 + 9 = -33 -33 + 28x = 7x + -5 Reorder the terms: -33 + 28x = -5 + 7x Solving -33 + 28x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -33 + 28x + -7x = -5 + 7x + -7x Combine like terms: 28x + -7x = 21x -33 + 21x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -33 + 21x = -5 + 0 -33 + 21x = -5 Add '33' to each side of the equation. -33 + 33 + 21x = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 21x = -5 + 33 21x = -5 + 33 Combine like terms: -5 + 33 = 28 21x = 28 Divide each side by '21'. x = 1.333333333 Simplifying x = 1.333333333
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