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Simplifying 10(x + 3 + 3) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 10(3 + 3 + x) + -1(-9x + -4) = x + -5 + 3 Combine like terms: 3 + 3 = 6 10(6 + x) + -1(-9x + -4) = x + -5 + 3 (6 * 10 + x * 10) + -1(-9x + -4) = x + -5 + 3 (60 + 10x) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 60 + 10x + -1(-4 + -9x) = x + -5 + 3 60 + 10x + (-4 * -1 + -9x * -1) = x + -5 + 3 60 + 10x + (4 + 9x) = x + -5 + 3 Reorder the terms: 60 + 4 + 10x + 9x = x + -5 + 3 Combine like terms: 60 + 4 = 64 64 + 10x + 9x = x + -5 + 3 Combine like terms: 10x + 9x = 19x 64 + 19x = x + -5 + 3 Reorder the terms: 64 + 19x = -5 + 3 + x Combine like terms: -5 + 3 = -2 64 + 19x = -2 + x Solving 64 + 19x = -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. 64 + 19x + -1x = -2 + x + -1x Combine like terms: 19x + -1x = 18x 64 + 18x = -2 + x + -1x Combine like terms: x + -1x = 0 64 + 18x = -2 + 0 64 + 18x = -2 Add '-64' to each side of the equation. 64 + -64 + 18x = -2 + -64 Combine like terms: 64 + -64 = 0 0 + 18x = -2 + -64 18x = -2 + -64 Combine like terms: -2 + -64 = -66 18x = -66 Divide each side by '18'. x = -3.666666667 Simplifying x = -3.666666667
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