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Simplifying 6(x + -5) = 4(2x + -1) Reorder the terms: 6(-5 + x) = 4(2x + -1) (-5 * 6 + x * 6) = 4(2x + -1) (-30 + 6x) = 4(2x + -1) Reorder the terms: -30 + 6x = 4(-1 + 2x) -30 + 6x = (-1 * 4 + 2x * 4) -30 + 6x = (-4 + 8x) Solving -30 + 6x = -4 + 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. -30 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x -30 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -2x = -4 + 0 -30 + -2x = -4 Add '30' to each side of the equation. -30 + 30 + -2x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -4 + 30 -2x = -4 + 30 Combine like terms: -4 + 30 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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