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Simplifying 3(2x + -7) + 2(-5x) + (4x + 1) = x Reorder the terms: 3(-7 + 2x) + 2(-5x) + (4x + 1) = x (-7 * 3 + 2x * 3) + 2(-5x) + (4x + 1) = x (-21 + 6x) + 2(-5x) + (4x + 1) = x Remove parenthesis around (-5x) -21 + 6x + 2 * -5x + (4x + 1) = x Multiply 2 * -5 -21 + 6x + -10x + (4x + 1) = x Reorder the terms: -21 + 6x + -10x + (1 + 4x) = x Remove parenthesis around (1 + 4x) -21 + 6x + -10x + 1 + 4x = x Reorder the terms: -21 + 1 + 6x + -10x + 4x = x Combine like terms: -21 + 1 = -20 -20 + 6x + -10x + 4x = x Combine like terms: 6x + -10x = -4x -20 + -4x + 4x = x Combine like terms: -4x + 4x = 0 -20 + 0 = x -20 = x Solving -20 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + -1x = x + -1x Combine like terms: x + -1x = 0 -20 + -1x = 0 Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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