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Simplifying -7(2x + -5) + 7(1 + 3x) = -3x + 4x Reorder the terms: -7(-5 + 2x) + 7(1 + 3x) = -3x + 4x (-5 * -7 + 2x * -7) + 7(1 + 3x) = -3x + 4x (35 + -14x) + 7(1 + 3x) = -3x + 4x 35 + -14x + (1 * 7 + 3x * 7) = -3x + 4x 35 + -14x + (7 + 21x) = -3x + 4x Reorder the terms: 35 + 7 + -14x + 21x = -3x + 4x Combine like terms: 35 + 7 = 42 42 + -14x + 21x = -3x + 4x Combine like terms: -14x + 21x = 7x 42 + 7x = -3x + 4x Combine like terms: -3x + 4x = 1x 42 + 7x = 1x Solving 42 + 7x = 1x 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. 42 + 7x + -1x = 1x + -1x Combine like terms: 7x + -1x = 6x 42 + 6x = 1x + -1x Combine like terms: 1x + -1x = 0 42 + 6x = 0 Add '-42' to each side of the equation. 42 + -42 + 6x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 0 + -42 6x = 0 + -42 Combine like terms: 0 + -42 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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