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Simplifying 1 + 7(x + -5) = 3 + -8(x + -7) Reorder the terms: 1 + 7(-5 + x) = 3 + -8(x + -7) 1 + (-5 * 7 + x * 7) = 3 + -8(x + -7) 1 + (-35 + 7x) = 3 + -8(x + -7) Combine like terms: 1 + -35 = -34 -34 + 7x = 3 + -8(x + -7) Reorder the terms: -34 + 7x = 3 + -8(-7 + x) -34 + 7x = 3 + (-7 * -8 + x * -8) -34 + 7x = 3 + (56 + -8x) Combine like terms: 3 + 56 = 59 -34 + 7x = 59 + -8x Solving -34 + 7x = 59 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -34 + 7x + 8x = 59 + -8x + 8x Combine like terms: 7x + 8x = 15x -34 + 15x = 59 + -8x + 8x Combine like terms: -8x + 8x = 0 -34 + 15x = 59 + 0 -34 + 15x = 59 Add '34' to each side of the equation. -34 + 34 + 15x = 59 + 34 Combine like terms: -34 + 34 = 0 0 + 15x = 59 + 34 15x = 59 + 34 Combine like terms: 59 + 34 = 93 15x = 93 Divide each side by '15'. x = 6.2 Simplifying x = 6.2
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