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Simplifying 7 + 3(1 + 0x) = 5 + -2(3 + -4x) Anything times zero is zero. 7 + 3(1 + 0x) = 5 + -2(3 + -4x) Combine like terms: 1 + 0 = 1 7 + 3(1) = 5 + -2(3 + -4x) Multiply 3 * 1 7 + 3 = 5 + -2(3 + -4x) Combine like terms: 7 + 3 = 10 10 = 5 + -2(3 + -4x) 10 = 5 + (3 * -2 + -4x * -2) 10 = 5 + (-6 + 8x) Combine like terms: 5 + -6 = -1 10 = -1 + 8x Solving 10 = -1 + 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. 10 + -8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -8x = -1 + 0 10 + -8x = -1 Add '-10' to each side of the equation. 10 + -10 + -8x = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -1 + -10 -8x = -1 + -10 Combine like terms: -1 + -10 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375
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