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Simplifying 40(2x + -1) = 8(x + 4) * 3 + x Reorder the terms: 40(-1 + 2x) = 8(x + 4) * 3 + x (-1 * 40 + 2x * 40) = 8(x + 4) * 3 + x (-40 + 80x) = 8(x + 4) * 3 + x Reorder the terms: -40 + 80x = 8(4 + x) * 3 + x Reorder the terms for easier multiplication: -40 + 80x = 8 * 3(4 + x) + x Multiply 8 * 3 -40 + 80x = 24(4 + x) + x -40 + 80x = (4 * 24 + x * 24) + x -40 + 80x = (96 + 24x) + x Combine like terms: 24x + x = 25x -40 + 80x = 96 + 25x Solving -40 + 80x = 96 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -40 + 80x + -25x = 96 + 25x + -25x Combine like terms: 80x + -25x = 55x -40 + 55x = 96 + 25x + -25x Combine like terms: 25x + -25x = 0 -40 + 55x = 96 + 0 -40 + 55x = 96 Add '40' to each side of the equation. -40 + 40 + 55x = 96 + 40 Combine like terms: -40 + 40 = 0 0 + 55x = 96 + 40 55x = 96 + 40 Combine like terms: 96 + 40 = 136 55x = 136 Divide each side by '55'. x = 2.472727273 Simplifying x = 2.472727273
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