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Simplifying 5 + 3(5x + -4) = 6 + -3(2x + 1) Reorder the terms: 5 + 3(-4 + 5x) = 6 + -3(2x + 1) 5 + (-4 * 3 + 5x * 3) = 6 + -3(2x + 1) 5 + (-12 + 15x) = 6 + -3(2x + 1) Combine like terms: 5 + -12 = -7 -7 + 15x = 6 + -3(2x + 1) Reorder the terms: -7 + 15x = 6 + -3(1 + 2x) -7 + 15x = 6 + (1 * -3 + 2x * -3) -7 + 15x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -7 + 15x = 3 + -6x Solving -7 + 15x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 15x + 6x = 3 + -6x + 6x Combine like terms: 15x + 6x = 21x -7 + 21x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 21x = 3 + 0 -7 + 21x = 3 Add '7' to each side of the equation. -7 + 7 + 21x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 21x = 3 + 7 21x = 3 + 7 Combine like terms: 3 + 7 = 10 21x = 10 Divide each side by '21'. x = 0.4761904762 Simplifying x = 0.4761904762
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