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Simplifying 2(3x + -40) + 10 = 5(x + 4) Reorder the terms: 2(-40 + 3x) + 10 = 5(x + 4) (-40 * 2 + 3x * 2) + 10 = 5(x + 4) (-80 + 6x) + 10 = 5(x + 4) Reorder the terms: -80 + 10 + 6x = 5(x + 4) Combine like terms: -80 + 10 = -70 -70 + 6x = 5(x + 4) Reorder the terms: -70 + 6x = 5(4 + x) -70 + 6x = (4 * 5 + x * 5) -70 + 6x = (20 + 5x) Solving -70 + 6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -70 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x -70 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -70 + 1x = 20 + 0 -70 + 1x = 20 Add '70' to each side of the equation. -70 + 70 + 1x = 20 + 70 Combine like terms: -70 + 70 = 0 0 + 1x = 20 + 70 1x = 20 + 70 Combine like terms: 20 + 70 = 90 1x = 90 Divide each side by '1'. x = 90 Simplifying x = 90
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