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Simplifying 4(4x + -10) = 3(2x + 1) Reorder the terms: 4(-10 + 4x) = 3(2x + 1) (-10 * 4 + 4x * 4) = 3(2x + 1) (-40 + 16x) = 3(2x + 1) Reorder the terms: -40 + 16x = 3(1 + 2x) -40 + 16x = (1 * 3 + 2x * 3) -40 + 16x = (3 + 6x) Solving -40 + 16x = 3 + 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 + 16x + -6x = 3 + 6x + -6x Combine like terms: 16x + -6x = 10x -40 + 10x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 10x = 3 + 0 -40 + 10x = 3 Add '40' to each side of the equation. -40 + 40 + 10x = 3 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 3 + 40 10x = 3 + 40 Combine like terms: 3 + 40 = 43 10x = 43 Divide each side by '10'. x = 4.3 Simplifying x = 4.3
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