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Simplifying 7 + 3(x + -4) = 6 + -5(2x + 1) Reorder the terms: 7 + 3(-4 + x) = 6 + -5(2x + 1) 7 + (-4 * 3 + x * 3) = 6 + -5(2x + 1) 7 + (-12 + 3x) = 6 + -5(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 3x = 6 + -5(2x + 1) Reorder the terms: -5 + 3x = 6 + -5(1 + 2x) -5 + 3x = 6 + (1 * -5 + 2x * -5) -5 + 3x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -5 + 3x = 1 + -10x Solving -5 + 3x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -5 + 3x + 10x = 1 + -10x + 10x Combine like terms: 3x + 10x = 13x -5 + 13x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 13x = 1 + 0 -5 + 13x = 1 Add '5' to each side of the equation. -5 + 5 + 13x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 1 + 5 13x = 1 + 5 Combine like terms: 1 + 5 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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