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Simplifying 6(x + -40) + -7(x + 10) = 35 + -6(x + -10) Reorder the terms: 6(-40 + x) + -7(x + 10) = 35 + -6(x + -10) (-40 * 6 + x * 6) + -7(x + 10) = 35 + -6(x + -10) (-240 + 6x) + -7(x + 10) = 35 + -6(x + -10) Reorder the terms: -240 + 6x + -7(10 + x) = 35 + -6(x + -10) -240 + 6x + (10 * -7 + x * -7) = 35 + -6(x + -10) -240 + 6x + (-70 + -7x) = 35 + -6(x + -10) Reorder the terms: -240 + -70 + 6x + -7x = 35 + -6(x + -10) Combine like terms: -240 + -70 = -310 -310 + 6x + -7x = 35 + -6(x + -10) Combine like terms: 6x + -7x = -1x -310 + -1x = 35 + -6(x + -10) Reorder the terms: -310 + -1x = 35 + -6(-10 + x) -310 + -1x = 35 + (-10 * -6 + x * -6) -310 + -1x = 35 + (60 + -6x) Combine like terms: 35 + 60 = 95 -310 + -1x = 95 + -6x Solving -310 + -1x = 95 + -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. -310 + -1x + 6x = 95 + -6x + 6x Combine like terms: -1x + 6x = 5x -310 + 5x = 95 + -6x + 6x Combine like terms: -6x + 6x = 0 -310 + 5x = 95 + 0 -310 + 5x = 95 Add '310' to each side of the equation. -310 + 310 + 5x = 95 + 310 Combine like terms: -310 + 310 = 0 0 + 5x = 95 + 310 5x = 95 + 310 Combine like terms: 95 + 310 = 405 5x = 405 Divide each side by '5'. x = 81 Simplifying x = 81
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