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Simplifying 6(x + -8) + 10 = 2(x + -7) Reorder the terms: 6(-8 + x) + 10 = 2(x + -7) (-8 * 6 + x * 6) + 10 = 2(x + -7) (-48 + 6x) + 10 = 2(x + -7) Reorder the terms: -48 + 10 + 6x = 2(x + -7) Combine like terms: -48 + 10 = -38 -38 + 6x = 2(x + -7) Reorder the terms: -38 + 6x = 2(-7 + x) -38 + 6x = (-7 * 2 + x * 2) -38 + 6x = (-14 + 2x) Solving -38 + 6x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 6x + -2x = -14 + 2x + -2x Combine like terms: 6x + -2x = 4x -38 + 4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 4x = -14 + 0 -38 + 4x = -14 Add '38' to each side of the equation. -38 + 38 + 4x = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = -14 + 38 4x = -14 + 38 Combine like terms: -14 + 38 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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