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Simplifying 7(3x + -1) + 4(10x + -3x) + -2(4x + 4) = -1 Reorder the terms: 7(-1 + 3x) + 4(10x + -3x) + -2(4x + 4) = -1 (-1 * 7 + 3x * 7) + 4(10x + -3x) + -2(4x + 4) = -1 (-7 + 21x) + 4(10x + -3x) + -2(4x + 4) = -1 Combine like terms: 10x + -3x = 7x -7 + 21x + 4(7x) + -2(4x + 4) = -1 Remove parenthesis around (7x) -7 + 21x + 4 * 7x + -2(4x + 4) = -1 Multiply 4 * 7 -7 + 21x + 28x + -2(4x + 4) = -1 Reorder the terms: -7 + 21x + 28x + -2(4 + 4x) = -1 -7 + 21x + 28x + (4 * -2 + 4x * -2) = -1 -7 + 21x + 28x + (-8 + -8x) = -1 Reorder the terms: -7 + -8 + 21x + 28x + -8x = -1 Combine like terms: -7 + -8 = -15 -15 + 21x + 28x + -8x = -1 Combine like terms: 21x + 28x = 49x -15 + 49x + -8x = -1 Combine like terms: 49x + -8x = 41x -15 + 41x = -1 Solving -15 + 41x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 41x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 41x = -1 + 15 41x = -1 + 15 Combine like terms: -1 + 15 = 14 41x = 14 Divide each side by '41'. x = 0.3414634146 Simplifying x = 0.3414634146
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