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Simplifying 10(x + -3) + -1(9x + -4) = x + -5 + 3 Reorder the terms: 10(-3 + x) + -1(9x + -4) = x + -5 + 3 (-3 * 10 + x * 10) + -1(9x + -4) = x + -5 + 3 (-30 + 10x) + -1(9x + -4) = x + -5 + 3 Reorder the terms: -30 + 10x + -1(-4 + 9x) = x + -5 + 3 -30 + 10x + (-4 * -1 + 9x * -1) = x + -5 + 3 -30 + 10x + (4 + -9x) = x + -5 + 3 Reorder the terms: -30 + 4 + 10x + -9x = x + -5 + 3 Combine like terms: -30 + 4 = -26 -26 + 10x + -9x = x + -5 + 3 Combine like terms: 10x + -9x = 1x -26 + 1x = x + -5 + 3 Reorder the terms: -26 + 1x = -5 + 3 + x Combine like terms: -5 + 3 = -2 -26 + 1x = -2 + x Solving -26 + 1x = -2 + 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. -26 + 1x + -1x = -2 + x + -1x Combine like terms: 1x + -1x = 0 -26 + 0 = -2 + x + -1x -26 = -2 + x + -1x Combine like terms: x + -1x = 0 -26 = -2 + 0 -26 = -2 Add '26' to each side of the equation. -26 + 26 = -2 + 26 Combine like terms: -26 + 26 = 0 0 = -2 + 26 Combine like terms: -2 + 26 = 24 0 = 24 Simplifying 0 = 24 Combine like terms: 0 + -24 = -24 -24 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 = 0 The solution to this equation could not be determined.
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