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Simplifying 6(x + -8) + 4(-1 + -3x) = -58 Reorder the terms: 6(-8 + x) + 4(-1 + -3x) = -58 (-8 * 6 + x * 6) + 4(-1 + -3x) = -58 (-48 + 6x) + 4(-1 + -3x) = -58 -48 + 6x + (-1 * 4 + -3x * 4) = -58 -48 + 6x + (-4 + -12x) = -58 Reorder the terms: -48 + -4 + 6x + -12x = -58 Combine like terms: -48 + -4 = -52 -52 + 6x + -12x = -58 Combine like terms: 6x + -12x = -6x -52 + -6x = -58 Solving -52 + -6x = -58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -6x = -58 + 52 Combine like terms: -52 + 52 = 0 0 + -6x = -58 + 52 -6x = -58 + 52 Combine like terms: -58 + 52 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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