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Simplifying 4(x + -4) + -3(4x + 1) = x + -19 Reorder the terms: 4(-4 + x) + -3(4x + 1) = x + -19 (-4 * 4 + x * 4) + -3(4x + 1) = x + -19 (-16 + 4x) + -3(4x + 1) = x + -19 Reorder the terms: -16 + 4x + -3(1 + 4x) = x + -19 -16 + 4x + (1 * -3 + 4x * -3) = x + -19 -16 + 4x + (-3 + -12x) = x + -19 Reorder the terms: -16 + -3 + 4x + -12x = x + -19 Combine like terms: -16 + -3 = -19 -19 + 4x + -12x = x + -19 Combine like terms: 4x + -12x = -8x -19 + -8x = x + -19 Reorder the terms: -19 + -8x = -19 + x Add '19' to each side of the equation. -19 + 19 + -8x = -19 + 19 + x Combine like terms: -19 + 19 = 0 0 + -8x = -19 + 19 + x -8x = -19 + 19 + x Combine like terms: -19 + 19 = 0 -8x = 0 + x -8x = x Solving -8x = 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. -8x + -1x = x + -1x Combine like terms: -8x + -1x = -9x -9x = x + -1x Combine like terms: x + -1x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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