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Simplifying 7(5x + -10) = 4(4x + -8) Reorder the terms: 7(-10 + 5x) = 4(4x + -8) (-10 * 7 + 5x * 7) = 4(4x + -8) (-70 + 35x) = 4(4x + -8) Reorder the terms: -70 + 35x = 4(-8 + 4x) -70 + 35x = (-8 * 4 + 4x * 4) -70 + 35x = (-32 + 16x) Solving -70 + 35x = -32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -70 + 35x + -16x = -32 + 16x + -16x Combine like terms: 35x + -16x = 19x -70 + 19x = -32 + 16x + -16x Combine like terms: 16x + -16x = 0 -70 + 19x = -32 + 0 -70 + 19x = -32 Add '70' to each side of the equation. -70 + 70 + 19x = -32 + 70 Combine like terms: -70 + 70 = 0 0 + 19x = -32 + 70 19x = -32 + 70 Combine like terms: -32 + 70 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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