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Simplifying 4(x + -1) + -3(3x + 5) = x + -19 Reorder the terms: 4(-1 + x) + -3(3x + 5) = x + -19 (-1 * 4 + x * 4) + -3(3x + 5) = x + -19 (-4 + 4x) + -3(3x + 5) = x + -19 Reorder the terms: -4 + 4x + -3(5 + 3x) = x + -19 -4 + 4x + (5 * -3 + 3x * -3) = x + -19 -4 + 4x + (-15 + -9x) = x + -19 Reorder the terms: -4 + -15 + 4x + -9x = x + -19 Combine like terms: -4 + -15 = -19 -19 + 4x + -9x = x + -19 Combine like terms: 4x + -9x = -5x -19 + -5x = x + -19 Reorder the terms: -19 + -5x = -19 + x Add '19' to each side of the equation. -19 + 19 + -5x = -19 + 19 + x Combine like terms: -19 + 19 = 0 0 + -5x = -19 + 19 + x -5x = -19 + 19 + x Combine like terms: -19 + 19 = 0 -5x = 0 + x -5x = x Solving -5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5x + -1x = x + -1x Combine like terms: -5x + -1x = -6x -6x = x + -1x Combine like terms: x + -1x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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