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Simplifying 7[22x + 2 + -1(1 + -7x)] = 190x + 4(10x + -3x) 7[22x + 2 + (1 * -1 + -7x * -1)] = 190x + 4(10x + -3x) 7[22x + 2 + (-1 + 7x)] = 190x + 4(10x + -3x) Reorder the terms: 7[2 + -1 + 22x + 7x] = 190x + 4(10x + -3x) Combine like terms: 2 + -1 = 1 7[1 + 22x + 7x] = 190x + 4(10x + -3x) Combine like terms: 22x + 7x = 29x 7[1 + 29x] = 190x + 4(10x + -3x) [1 * 7 + 29x * 7] = 190x + 4(10x + -3x) [7 + 203x] = 190x + 4(10x + -3x) Combine like terms: 10x + -3x = 7x 7 + 203x = 190x + 4(7x) Remove parenthesis around (7x) 7 + 203x = 190x + 4 * 7x Multiply 4 * 7 7 + 203x = 190x + 28x Combine like terms: 190x + 28x = 218x 7 + 203x = 218x Solving 7 + 203x = 218x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-218x' to each side of the equation. 7 + 203x + -218x = 218x + -218x Combine like terms: 203x + -218x = -15x 7 + -15x = 218x + -218x Combine like terms: 218x + -218x = 0 7 + -15x = 0 Add '-7' to each side of the equation. 7 + -7 + -15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 0 + -7 -15x = 0 + -7 Combine like terms: 0 + -7 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667
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