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Simplifying 5(7 + -1x) + 3 = 3x + -4 (7 * 5 + -1x * 5) + 3 = 3x + -4 (35 + -5x) + 3 = 3x + -4 Reorder the terms: 35 + 3 + -5x = 3x + -4 Combine like terms: 35 + 3 = 38 38 + -5x = 3x + -4 Reorder the terms: 38 + -5x = -4 + 3x Solving 38 + -5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + -5x + -3x = -4 + 3x + -3x Combine like terms: -5x + -3x = -8x 38 + -8x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -8x = -4 + 0 38 + -8x = -4 Add '-38' to each side of the equation. 38 + -38 + -8x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = -4 + -38 -8x = -4 + -38 Combine like terms: -4 + -38 = -42 -8x = -42 Divide each side by '-8'. x = 5.25 Simplifying x = 5.25
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