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Simplifying -4x + 32 = -7(-10x + 6) Reorder the terms: 32 + -4x = -7(-10x + 6) Reorder the terms: 32 + -4x = -7(6 + -10x) 32 + -4x = (6 * -7 + -10x * -7) 32 + -4x = (-42 + 70x) Solving 32 + -4x = -42 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 32 + -4x + -70x = -42 + 70x + -70x Combine like terms: -4x + -70x = -74x 32 + -74x = -42 + 70x + -70x Combine like terms: 70x + -70x = 0 32 + -74x = -42 + 0 32 + -74x = -42 Add '-32' to each side of the equation. 32 + -32 + -74x = -42 + -32 Combine like terms: 32 + -32 = 0 0 + -74x = -42 + -32 -74x = -42 + -32 Combine like terms: -42 + -32 = -74 -74x = -74 Divide each side by '-74'. x = 1 Simplifying x = 1
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