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Simplifying 6(x + -10) + -7 = 19x + -197 Reorder the terms: 6(-10 + x) + -7 = 19x + -197 (-10 * 6 + x * 6) + -7 = 19x + -197 (-60 + 6x) + -7 = 19x + -197 Reorder the terms: -60 + -7 + 6x = 19x + -197 Combine like terms: -60 + -7 = -67 -67 + 6x = 19x + -197 Reorder the terms: -67 + 6x = -197 + 19x Solving -67 + 6x = -197 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -67 + 6x + -19x = -197 + 19x + -19x Combine like terms: 6x + -19x = -13x -67 + -13x = -197 + 19x + -19x Combine like terms: 19x + -19x = 0 -67 + -13x = -197 + 0 -67 + -13x = -197 Add '67' to each side of the equation. -67 + 67 + -13x = -197 + 67 Combine like terms: -67 + 67 = 0 0 + -13x = -197 + 67 -13x = -197 + 67 Combine like terms: -197 + 67 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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