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Simplifying 5 + 5(3x + -4) = 7(x + -1) Reorder the terms: 5 + 5(-4 + 3x) = 7(x + -1) 5 + (-4 * 5 + 3x * 5) = 7(x + -1) 5 + (-20 + 15x) = 7(x + -1) Combine like terms: 5 + -20 = -15 -15 + 15x = 7(x + -1) Reorder the terms: -15 + 15x = 7(-1 + x) -15 + 15x = (-1 * 7 + x * 7) -15 + 15x = (-7 + 7x) Solving -15 + 15x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 15x + -7x = -7 + 7x + -7x Combine like terms: 15x + -7x = 8x -15 + 8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 8x = -7 + 0 -15 + 8x = -7 Add '15' to each side of the equation. -15 + 15 + 8x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -7 + 15 8x = -7 + 15 Combine like terms: -7 + 15 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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