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Simplifying 3(6x + -5) + -1(3x + -10) = 8x + 4 Reorder the terms: 3(-5 + 6x) + -1(3x + -10) = 8x + 4 (-5 * 3 + 6x * 3) + -1(3x + -10) = 8x + 4 (-15 + 18x) + -1(3x + -10) = 8x + 4 Reorder the terms: -15 + 18x + -1(-10 + 3x) = 8x + 4 -15 + 18x + (-10 * -1 + 3x * -1) = 8x + 4 -15 + 18x + (10 + -3x) = 8x + 4 Reorder the terms: -15 + 10 + 18x + -3x = 8x + 4 Combine like terms: -15 + 10 = -5 -5 + 18x + -3x = 8x + 4 Combine like terms: 18x + -3x = 15x -5 + 15x = 8x + 4 Reorder the terms: -5 + 15x = 4 + 8x Solving -5 + 15x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 15x + -8x = 4 + 8x + -8x Combine like terms: 15x + -8x = 7x -5 + 7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 7x = 4 + 0 -5 + 7x = 4 Add '5' to each side of the equation. -5 + 5 + 7x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 4 + 5 7x = 4 + 5 Combine like terms: 4 + 5 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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