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Simplifying 5(-2x) + -6 = 3(x + 8) + -4 Remove parenthesis around (-2x) 5 * -2x + -6 = 3(x + 8) + -4 Multiply 5 * -2 -10x + -6 = 3(x + 8) + -4 Reorder the terms: -6 + -10x = 3(x + 8) + -4 Reorder the terms: -6 + -10x = 3(8 + x) + -4 -6 + -10x = (8 * 3 + x * 3) + -4 -6 + -10x = (24 + 3x) + -4 Reorder the terms: -6 + -10x = 24 + -4 + 3x Combine like terms: 24 + -4 = 20 -6 + -10x = 20 + 3x Solving -6 + -10x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -10x + -3x = 20 + 3x + -3x Combine like terms: -10x + -3x = -13x -6 + -13x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -13x = 20 + 0 -6 + -13x = 20 Add '6' to each side of the equation. -6 + 6 + -13x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = 20 + 6 -13x = 20 + 6 Combine like terms: 20 + 6 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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