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Simplifying 4(x + -7) + -10 = 8x + 6 Reorder the terms: 4(-7 + x) + -10 = 8x + 6 (-7 * 4 + x * 4) + -10 = 8x + 6 (-28 + 4x) + -10 = 8x + 6 Reorder the terms: -28 + -10 + 4x = 8x + 6 Combine like terms: -28 + -10 = -38 -38 + 4x = 8x + 6 Reorder the terms: -38 + 4x = 6 + 8x Solving -38 + 4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -38 + 4x + -8x = 6 + 8x + -8x Combine like terms: 4x + -8x = -4x -38 + -4x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -4x = 6 + 0 -38 + -4x = 6 Add '38' to each side of the equation. -38 + 38 + -4x = 6 + 38 Combine like terms: -38 + 38 = 0 0 + -4x = 6 + 38 -4x = 6 + 38 Combine like terms: 6 + 38 = 44 -4x = 44 Divide each side by '-4'. x = -11 Simplifying x = -11
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