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Simplifying 5x + 7 = 1 + -3(x + -4) Reorder the terms: 7 + 5x = 1 + -3(x + -4) Reorder the terms: 7 + 5x = 1 + -3(-4 + x) 7 + 5x = 1 + (-4 * -3 + x * -3) 7 + 5x = 1 + (12 + -3x) Combine like terms: 1 + 12 = 13 7 + 5x = 13 + -3x Solving 7 + 5x = 13 + -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. 7 + 5x + 3x = 13 + -3x + 3x Combine like terms: 5x + 3x = 8x 7 + 8x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 8x = 13 + 0 7 + 8x = 13 Add '-7' to each side of the equation. 7 + -7 + 8x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 13 + -7 8x = 13 + -7 Combine like terms: 13 + -7 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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