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Simplifying 3(2x + -7) + -5(3x + -1) + 4x = 8 + -2(5x + -3) Reorder the terms: 3(-7 + 2x) + -5(3x + -1) + 4x = 8 + -2(5x + -3) (-7 * 3 + 2x * 3) + -5(3x + -1) + 4x = 8 + -2(5x + -3) (-21 + 6x) + -5(3x + -1) + 4x = 8 + -2(5x + -3) Reorder the terms: -21 + 6x + -5(-1 + 3x) + 4x = 8 + -2(5x + -3) -21 + 6x + (-1 * -5 + 3x * -5) + 4x = 8 + -2(5x + -3) -21 + 6x + (5 + -15x) + 4x = 8 + -2(5x + -3) Reorder the terms: -21 + 5 + 6x + -15x + 4x = 8 + -2(5x + -3) Combine like terms: -21 + 5 = -16 -16 + 6x + -15x + 4x = 8 + -2(5x + -3) Combine like terms: 6x + -15x = -9x -16 + -9x + 4x = 8 + -2(5x + -3) Combine like terms: -9x + 4x = -5x -16 + -5x = 8 + -2(5x + -3) Reorder the terms: -16 + -5x = 8 + -2(-3 + 5x) -16 + -5x = 8 + (-3 * -2 + 5x * -2) -16 + -5x = 8 + (6 + -10x) Combine like terms: 8 + 6 = 14 -16 + -5x = 14 + -10x Solving -16 + -5x = 14 + -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. -16 + -5x + 10x = 14 + -10x + 10x Combine like terms: -5x + 10x = 5x -16 + 5x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 5x = 14 + 0 -16 + 5x = 14 Add '16' to each side of the equation. -16 + 16 + 5x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 14 + 16 5x = 14 + 16 Combine like terms: 14 + 16 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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