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Simplifying 10(6x + -7) = 4(x + 5) Reorder the terms: 10(-7 + 6x) = 4(x + 5) (-7 * 10 + 6x * 10) = 4(x + 5) (-70 + 60x) = 4(x + 5) Reorder the terms: -70 + 60x = 4(5 + x) -70 + 60x = (5 * 4 + x * 4) -70 + 60x = (20 + 4x) Solving -70 + 60x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -70 + 60x + -4x = 20 + 4x + -4x Combine like terms: 60x + -4x = 56x -70 + 56x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -70 + 56x = 20 + 0 -70 + 56x = 20 Add '70' to each side of the equation. -70 + 70 + 56x = 20 + 70 Combine like terms: -70 + 70 = 0 0 + 56x = 20 + 70 56x = 20 + 70 Combine like terms: 20 + 70 = 90 56x = 90 Divide each side by '56'. x = 1.607142857 Simplifying x = 1.607142857
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