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Simplifying 4(x + -5) + -2(3x + 5) = -3x + -1 Reorder the terms: 4(-5 + x) + -2(3x + 5) = -3x + -1 (-5 * 4 + x * 4) + -2(3x + 5) = -3x + -1 (-20 + 4x) + -2(3x + 5) = -3x + -1 Reorder the terms: -20 + 4x + -2(5 + 3x) = -3x + -1 -20 + 4x + (5 * -2 + 3x * -2) = -3x + -1 -20 + 4x + (-10 + -6x) = -3x + -1 Reorder the terms: -20 + -10 + 4x + -6x = -3x + -1 Combine like terms: -20 + -10 = -30 -30 + 4x + -6x = -3x + -1 Combine like terms: 4x + -6x = -2x -30 + -2x = -3x + -1 Reorder the terms: -30 + -2x = -1 + -3x Solving -30 + -2x = -1 + -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. -30 + -2x + 3x = -1 + -3x + 3x Combine like terms: -2x + 3x = 1x -30 + 1x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 1x = -1 + 0 -30 + 1x = -1 Add '30' to each side of the equation. -30 + 30 + 1x = -1 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -1 + 30 1x = -1 + 30 Combine like terms: -1 + 30 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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