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Simplifying 90 = 8(x + -40) + 50 Reorder the terms: 90 = 8(-40 + x) + 50 90 = (-40 * 8 + x * 8) + 50 90 = (-320 + 8x) + 50 Reorder the terms: 90 = -320 + 50 + 8x Combine like terms: -320 + 50 = -270 90 = -270 + 8x Solving 90 = -270 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 90 + -8x = -270 + 8x + -8x Combine like terms: 8x + -8x = 0 90 + -8x = -270 + 0 90 + -8x = -270 Add '-90' to each side of the equation. 90 + -90 + -8x = -270 + -90 Combine like terms: 90 + -90 = 0 0 + -8x = -270 + -90 -8x = -270 + -90 Combine like terms: -270 + -90 = -360 -8x = -360 Divide each side by '-8'. x = 45 Simplifying x = 45
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