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Simplifying 4(7x + -1) + -9x = 1x + 4 Reorder the terms: 4(-1 + 7x) + -9x = 1x + 4 (-1 * 4 + 7x * 4) + -9x = 1x + 4 (-4 + 28x) + -9x = 1x + 4 Combine like terms: 28x + -9x = 19x -4 + 19x = 1x + 4 Reorder the terms: -4 + 19x = 4 + 1x Solving -4 + 19x = 4 + 1x 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. -4 + 19x + -1x = 4 + 1x + -1x Combine like terms: 19x + -1x = 18x -4 + 18x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 18x = 4 + 0 -4 + 18x = 4 Add '4' to each side of the equation. -4 + 4 + 18x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 4 + 4 18x = 4 + 4 Combine like terms: 4 + 4 = 8 18x = 8 Divide each side by '18'. x = 0.4444444444 Simplifying x = 0.4444444444
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