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Simplifying 1 + 2(3x + -4) = 5 + -6(7x + 8) Reorder the terms: 1 + 2(-4 + 3x) = 5 + -6(7x + 8) 1 + (-4 * 2 + 3x * 2) = 5 + -6(7x + 8) 1 + (-8 + 6x) = 5 + -6(7x + 8) Combine like terms: 1 + -8 = -7 -7 + 6x = 5 + -6(7x + 8) Reorder the terms: -7 + 6x = 5 + -6(8 + 7x) -7 + 6x = 5 + (8 * -6 + 7x * -6) -7 + 6x = 5 + (-48 + -42x) Combine like terms: 5 + -48 = -43 -7 + 6x = -43 + -42x Solving -7 + 6x = -43 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -7 + 6x + 42x = -43 + -42x + 42x Combine like terms: 6x + 42x = 48x -7 + 48x = -43 + -42x + 42x Combine like terms: -42x + 42x = 0 -7 + 48x = -43 + 0 -7 + 48x = -43 Add '7' to each side of the equation. -7 + 7 + 48x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + 48x = -43 + 7 48x = -43 + 7 Combine like terms: -43 + 7 = -36 48x = -36 Divide each side by '48'. x = -0.75 Simplifying x = -0.75
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