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Simplifying 2(x + -8) + 7 = 6(x + 2) + -3x + -19 Reorder the terms: 2(-8 + x) + 7 = 6(x + 2) + -3x + -19 (-8 * 2 + x * 2) + 7 = 6(x + 2) + -3x + -19 (-16 + 2x) + 7 = 6(x + 2) + -3x + -19 Reorder the terms: -16 + 7 + 2x = 6(x + 2) + -3x + -19 Combine like terms: -16 + 7 = -9 -9 + 2x = 6(x + 2) + -3x + -19 Reorder the terms: -9 + 2x = 6(2 + x) + -3x + -19 -9 + 2x = (2 * 6 + x * 6) + -3x + -19 -9 + 2x = (12 + 6x) + -3x + -19 Reorder the terms: -9 + 2x = 12 + -19 + 6x + -3x Combine like terms: 12 + -19 = -7 -9 + 2x = -7 + 6x + -3x Combine like terms: 6x + -3x = 3x -9 + 2x = -7 + 3x Solving -9 + 2x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 2x + -3x = -7 + 3x + -3x Combine like terms: 2x + -3x = -1x -9 + -1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -1x = -7 + 0 -9 + -1x = -7 Add '9' to each side of the equation. -9 + 9 + -1x = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -7 + 9 -1x = -7 + 9 Combine like terms: -7 + 9 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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