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Simplifying 4(6x + -7) + -1(3x + -5) = 43 + x Reorder the terms: 4(-7 + 6x) + -1(3x + -5) = 43 + x (-7 * 4 + 6x * 4) + -1(3x + -5) = 43 + x (-28 + 24x) + -1(3x + -5) = 43 + x Reorder the terms: -28 + 24x + -1(-5 + 3x) = 43 + x -28 + 24x + (-5 * -1 + 3x * -1) = 43 + x -28 + 24x + (5 + -3x) = 43 + x Reorder the terms: -28 + 5 + 24x + -3x = 43 + x Combine like terms: -28 + 5 = -23 -23 + 24x + -3x = 43 + x Combine like terms: 24x + -3x = 21x -23 + 21x = 43 + x Solving -23 + 21x = 43 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -23 + 21x + -1x = 43 + x + -1x Combine like terms: 21x + -1x = 20x -23 + 20x = 43 + x + -1x Combine like terms: x + -1x = 0 -23 + 20x = 43 + 0 -23 + 20x = 43 Add '23' to each side of the equation. -23 + 23 + 20x = 43 + 23 Combine like terms: -23 + 23 = 0 0 + 20x = 43 + 23 20x = 43 + 23 Combine like terms: 43 + 23 = 66 20x = 66 Divide each side by '20'. x = 3.3 Simplifying x = 3.3
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