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Simplifying 4(5x) + -2(4 + x) = 3(x + -2) + 1 Remove parenthesis around (5x) 4 * 5x + -2(4 + x) = 3(x + -2) + 1 Multiply 4 * 5 20x + -2(4 + x) = 3(x + -2) + 1 20x + (4 * -2 + x * -2) = 3(x + -2) + 1 20x + (-8 + -2x) = 3(x + -2) + 1 Reorder the terms: -8 + 20x + -2x = 3(x + -2) + 1 Combine like terms: 20x + -2x = 18x -8 + 18x = 3(x + -2) + 1 Reorder the terms: -8 + 18x = 3(-2 + x) + 1 -8 + 18x = (-2 * 3 + x * 3) + 1 -8 + 18x = (-6 + 3x) + 1 Reorder the terms: -8 + 18x = -6 + 1 + 3x Combine like terms: -6 + 1 = -5 -8 + 18x = -5 + 3x Solving -8 + 18x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 18x + -3x = -5 + 3x + -3x Combine like terms: 18x + -3x = 15x -8 + 15x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 15x = -5 + 0 -8 + 15x = -5 Add '8' to each side of the equation. -8 + 8 + 15x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = -5 + 8 15x = -5 + 8 Combine like terms: -5 + 8 = 3 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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