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Simplifying 4(9x + -5) + 4 = 10(3x + 17) Reorder the terms: 4(-5 + 9x) + 4 = 10(3x + 17) (-5 * 4 + 9x * 4) + 4 = 10(3x + 17) (-20 + 36x) + 4 = 10(3x + 17) Reorder the terms: -20 + 4 + 36x = 10(3x + 17) Combine like terms: -20 + 4 = -16 -16 + 36x = 10(3x + 17) Reorder the terms: -16 + 36x = 10(17 + 3x) -16 + 36x = (17 * 10 + 3x * 10) -16 + 36x = (170 + 30x) Solving -16 + 36x = 170 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -16 + 36x + -30x = 170 + 30x + -30x Combine like terms: 36x + -30x = 6x -16 + 6x = 170 + 30x + -30x Combine like terms: 30x + -30x = 0 -16 + 6x = 170 + 0 -16 + 6x = 170 Add '16' to each side of the equation. -16 + 16 + 6x = 170 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 170 + 16 6x = 170 + 16 Combine like terms: 170 + 16 = 186 6x = 186 Divide each side by '6'. x = 31 Simplifying x = 31
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