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Simplifying 5(x + -12) + -6 = 15x + -146 Reorder the terms: 5(-12 + x) + -6 = 15x + -146 (-12 * 5 + x * 5) + -6 = 15x + -146 (-60 + 5x) + -6 = 15x + -146 Reorder the terms: -60 + -6 + 5x = 15x + -146 Combine like terms: -60 + -6 = -66 -66 + 5x = 15x + -146 Reorder the terms: -66 + 5x = -146 + 15x Solving -66 + 5x = -146 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -66 + 5x + -15x = -146 + 15x + -15x Combine like terms: 5x + -15x = -10x -66 + -10x = -146 + 15x + -15x Combine like terms: 15x + -15x = 0 -66 + -10x = -146 + 0 -66 + -10x = -146 Add '66' to each side of the equation. -66 + 66 + -10x = -146 + 66 Combine like terms: -66 + 66 = 0 0 + -10x = -146 + 66 -10x = -146 + 66 Combine like terms: -146 + 66 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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