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Simplifying 7(16x + -25) + -6(7x + 5) = 27x + 22 + -4(x + -2) Reorder the terms: 7(-25 + 16x) + -6(7x + 5) = 27x + 22 + -4(x + -2) (-25 * 7 + 16x * 7) + -6(7x + 5) = 27x + 22 + -4(x + -2) (-175 + 112x) + -6(7x + 5) = 27x + 22 + -4(x + -2) Reorder the terms: -175 + 112x + -6(5 + 7x) = 27x + 22 + -4(x + -2) -175 + 112x + (5 * -6 + 7x * -6) = 27x + 22 + -4(x + -2) -175 + 112x + (-30 + -42x) = 27x + 22 + -4(x + -2) Reorder the terms: -175 + -30 + 112x + -42x = 27x + 22 + -4(x + -2) Combine like terms: -175 + -30 = -205 -205 + 112x + -42x = 27x + 22 + -4(x + -2) Combine like terms: 112x + -42x = 70x -205 + 70x = 27x + 22 + -4(x + -2) Reorder the terms: -205 + 70x = 27x + 22 + -4(-2 + x) -205 + 70x = 27x + 22 + (-2 * -4 + x * -4) -205 + 70x = 27x + 22 + (8 + -4x) Reorder the terms: -205 + 70x = 22 + 8 + 27x + -4x Combine like terms: 22 + 8 = 30 -205 + 70x = 30 + 27x + -4x Combine like terms: 27x + -4x = 23x -205 + 70x = 30 + 23x Solving -205 + 70x = 30 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -205 + 70x + -23x = 30 + 23x + -23x Combine like terms: 70x + -23x = 47x -205 + 47x = 30 + 23x + -23x Combine like terms: 23x + -23x = 0 -205 + 47x = 30 + 0 -205 + 47x = 30 Add '205' to each side of the equation. -205 + 205 + 47x = 30 + 205 Combine like terms: -205 + 205 = 0 0 + 47x = 30 + 205 47x = 30 + 205 Combine like terms: 30 + 205 = 235 47x = 235 Divide each side by '47'. x = 5 Simplifying x = 5
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