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Simplifying 6x + -1(-4x + 5) = 7(6x + -3) Reorder the terms: 6x + -1(5 + -4x) = 7(6x + -3) 6x + (5 * -1 + -4x * -1) = 7(6x + -3) 6x + (-5 + 4x) = 7(6x + -3) Reorder the terms: -5 + 6x + 4x = 7(6x + -3) Combine like terms: 6x + 4x = 10x -5 + 10x = 7(6x + -3) Reorder the terms: -5 + 10x = 7(-3 + 6x) -5 + 10x = (-3 * 7 + 6x * 7) -5 + 10x = (-21 + 42x) Solving -5 + 10x = -21 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -5 + 10x + -42x = -21 + 42x + -42x Combine like terms: 10x + -42x = -32x -5 + -32x = -21 + 42x + -42x Combine like terms: 42x + -42x = 0 -5 + -32x = -21 + 0 -5 + -32x = -21 Add '5' to each side of the equation. -5 + 5 + -32x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -32x = -21 + 5 -32x = -21 + 5 Combine like terms: -21 + 5 = -16 -32x = -16 Divide each side by '-32'. x = 0.5 Simplifying x = 0.5
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