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Simplifying 4(7 + -1x) = 2(3x + 1) + 36 (7 * 4 + -1x * 4) = 2(3x + 1) + 36 (28 + -4x) = 2(3x + 1) + 36 Reorder the terms: 28 + -4x = 2(1 + 3x) + 36 28 + -4x = (1 * 2 + 3x * 2) + 36 28 + -4x = (2 + 6x) + 36 Reorder the terms: 28 + -4x = 2 + 36 + 6x Combine like terms: 2 + 36 = 38 28 + -4x = 38 + 6x Solving 28 + -4x = 38 + 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. 28 + -4x + -6x = 38 + 6x + -6x Combine like terms: -4x + -6x = -10x 28 + -10x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -10x = 38 + 0 28 + -10x = 38 Add '-28' to each side of the equation. 28 + -28 + -10x = 38 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = 38 + -28 -10x = 38 + -28 Combine like terms: 38 + -28 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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