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Simplifying 3(5x + -4) + 2 = 30 + -2(3x + -1) Reorder the terms: 3(-4 + 5x) + 2 = 30 + -2(3x + -1) (-4 * 3 + 5x * 3) + 2 = 30 + -2(3x + -1) (-12 + 15x) + 2 = 30 + -2(3x + -1) Reorder the terms: -12 + 2 + 15x = 30 + -2(3x + -1) Combine like terms: -12 + 2 = -10 -10 + 15x = 30 + -2(3x + -1) Reorder the terms: -10 + 15x = 30 + -2(-1 + 3x) -10 + 15x = 30 + (-1 * -2 + 3x * -2) -10 + 15x = 30 + (2 + -6x) Combine like terms: 30 + 2 = 32 -10 + 15x = 32 + -6x Solving -10 + 15x = 32 + -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. -10 + 15x + 6x = 32 + -6x + 6x Combine like terms: 15x + 6x = 21x -10 + 21x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 21x = 32 + 0 -10 + 21x = 32 Add '10' to each side of the equation. -10 + 10 + 21x = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 21x = 32 + 10 21x = 32 + 10 Combine like terms: 32 + 10 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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