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Simplifying 4(x + -10) = 5x + -45 Reorder the terms: 4(-10 + x) = 5x + -45 (-10 * 4 + x * 4) = 5x + -45 (-40 + 4x) = 5x + -45 Reorder the terms: -40 + 4x = -45 + 5x Solving -40 + 4x = -45 + 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. -40 + 4x + -5x = -45 + 5x + -5x Combine like terms: 4x + -5x = -1x -40 + -1x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + -1x = -45 + 0 -40 + -1x = -45 Add '40' to each side of the equation. -40 + 40 + -1x = -45 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -45 + 40 -1x = -45 + 40 Combine like terms: -45 + 40 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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