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Simplifying -5x + 40 = 6x + -1(70) Reorder the terms: 40 + -5x = 6x + -1(70) Multiply -1 * 70 40 + -5x = 6x + -70 Reorder the terms: 40 + -5x = -70 + 6x Solving 40 + -5x = -70 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 40 + -5x + -6x = -70 + 6x + -6x Combine like terms: -5x + -6x = -11x 40 + -11x = -70 + 6x + -6x Combine like terms: 6x + -6x = 0 40 + -11x = -70 + 0 40 + -11x = -70 Add '-40' to each side of the equation. 40 + -40 + -11x = -70 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = -70 + -40 -11x = -70 + -40 Combine like terms: -70 + -40 = -110 -11x = -110 Divide each side by '-11'. x = 10 Simplifying x = 10
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