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Simplifying 8(x + -8) + -6 = 19x + -114 Reorder the terms: 8(-8 + x) + -6 = 19x + -114 (-8 * 8 + x * 8) + -6 = 19x + -114 (-64 + 8x) + -6 = 19x + -114 Reorder the terms: -64 + -6 + 8x = 19x + -114 Combine like terms: -64 + -6 = -70 -70 + 8x = 19x + -114 Reorder the terms: -70 + 8x = -114 + 19x Solving -70 + 8x = -114 + 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. -70 + 8x + -19x = -114 + 19x + -19x Combine like terms: 8x + -19x = -11x -70 + -11x = -114 + 19x + -19x Combine like terms: 19x + -19x = 0 -70 + -11x = -114 + 0 -70 + -11x = -114 Add '70' to each side of the equation. -70 + 70 + -11x = -114 + 70 Combine like terms: -70 + 70 = 0 0 + -11x = -114 + 70 -11x = -114 + 70 Combine like terms: -114 + 70 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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