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Simplifying 10(x + 3) + -1(-9x + -1r) = x + -5 + 3 Reorder the terms: 10(3 + x) + -1(-9x + -1r) = x + -5 + 3 (3 * 10 + x * 10) + -1(-9x + -1r) = x + -5 + 3 (30 + 10x) + -1(-9x + -1r) = x + -5 + 3 Reorder the terms: 30 + 10x + -1(-1r + -9x) = x + -5 + 3 30 + 10x + (-1r * -1 + -9x * -1) = x + -5 + 3 30 + 10x + (1r + 9x) = x + -5 + 3 Reorder the terms: 30 + 1r + 10x + 9x = x + -5 + 3 Combine like terms: 10x + 9x = 19x 30 + 1r + 19x = x + -5 + 3 Reorder the terms: 30 + 1r + 19x = -5 + 3 + x Combine like terms: -5 + 3 = -2 30 + 1r + 19x = -2 + x Solving 30 + 1r + 19x = -2 + x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 1r + -30 + 19x = -2 + -30 + x Reorder the terms: 30 + -30 + 1r + 19x = -2 + -30 + x Combine like terms: 30 + -30 = 0 0 + 1r + 19x = -2 + -30 + x 1r + 19x = -2 + -30 + x Combine like terms: -2 + -30 = -32 1r + 19x = -32 + x Add '-19x' to each side of the equation. 1r + 19x + -19x = -32 + x + -19x Combine like terms: 19x + -19x = 0 1r + 0 = -32 + x + -19x 1r = -32 + x + -19x Combine like terms: x + -19x = -18x 1r = -32 + -18x Divide each side by '1'. r = -32 + -18x Simplifying r = -32 + -18x
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