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Simplifying 4(x + -10) = 13 + -3(2x + 1) Reorder the terms: 4(-10 + x) = 13 + -3(2x + 1) (-10 * 4 + x * 4) = 13 + -3(2x + 1) (-40 + 4x) = 13 + -3(2x + 1) Reorder the terms: -40 + 4x = 13 + -3(1 + 2x) -40 + 4x = 13 + (1 * -3 + 2x * -3) -40 + 4x = 13 + (-3 + -6x) Combine like terms: 13 + -3 = 10 -40 + 4x = 10 + -6x Solving -40 + 4x = 10 + -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 + 4x + 6x = 10 + -6x + 6x Combine like terms: 4x + 6x = 10x -40 + 10x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 10x = 10 + 0 -40 + 10x = 10 Add '40' to each side of the equation. -40 + 40 + 10x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 10 + 40 10x = 10 + 40 Combine like terms: 10 + 40 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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