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Simplifying -6(-5x + -7) = 4(-6x + -3) Reorder the terms: -6(-7 + -5x) = 4(-6x + -3) (-7 * -6 + -5x * -6) = 4(-6x + -3) (42 + 30x) = 4(-6x + -3) Reorder the terms: 42 + 30x = 4(-3 + -6x) 42 + 30x = (-3 * 4 + -6x * 4) 42 + 30x = (-12 + -24x) Solving 42 + 30x = -12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 42 + 30x + 24x = -12 + -24x + 24x Combine like terms: 30x + 24x = 54x 42 + 54x = -12 + -24x + 24x Combine like terms: -24x + 24x = 0 42 + 54x = -12 + 0 42 + 54x = -12 Add '-42' to each side of the equation. 42 + -42 + 54x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + 54x = -12 + -42 54x = -12 + -42 Combine like terms: -12 + -42 = -54 54x = -54 Divide each side by '54'. x = -1 Simplifying x = -1
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