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Simplifying -4(-7x + 6) + -5x = 7(x + -5) + -3 Reorder the terms: -4(6 + -7x) + -5x = 7(x + -5) + -3 (6 * -4 + -7x * -4) + -5x = 7(x + -5) + -3 (-24 + 28x) + -5x = 7(x + -5) + -3 Combine like terms: 28x + -5x = 23x -24 + 23x = 7(x + -5) + -3 Reorder the terms: -24 + 23x = 7(-5 + x) + -3 -24 + 23x = (-5 * 7 + x * 7) + -3 -24 + 23x = (-35 + 7x) + -3 Reorder the terms: -24 + 23x = -35 + -3 + 7x Combine like terms: -35 + -3 = -38 -24 + 23x = -38 + 7x Solving -24 + 23x = -38 + 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. -24 + 23x + -7x = -38 + 7x + -7x Combine like terms: 23x + -7x = 16x -24 + 16x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + 16x = -38 + 0 -24 + 16x = -38 Add '24' to each side of the equation. -24 + 24 + 16x = -38 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -38 + 24 16x = -38 + 24 Combine like terms: -38 + 24 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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