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Simplifying 5(x + -2) + x = 3(2x + -1) * 7 Reorder the terms: 5(-2 + x) + x = 3(2x + -1) * 7 (-2 * 5 + x * 5) + x = 3(2x + -1) * 7 (-10 + 5x) + x = 3(2x + -1) * 7 Combine like terms: 5x + x = 6x -10 + 6x = 3(2x + -1) * 7 Reorder the terms: -10 + 6x = 3(-1 + 2x) * 7 Reorder the terms for easier multiplication: -10 + 6x = 3 * 7(-1 + 2x) Multiply 3 * 7 -10 + 6x = 21(-1 + 2x) -10 + 6x = (-1 * 21 + 2x * 21) -10 + 6x = (-21 + 42x) Solving -10 + 6x = -21 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -10 + 6x + -42x = -21 + 42x + -42x Combine like terms: 6x + -42x = -36x -10 + -36x = -21 + 42x + -42x Combine like terms: 42x + -42x = 0 -10 + -36x = -21 + 0 -10 + -36x = -21 Add '10' to each side of the equation. -10 + 10 + -36x = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -36x = -21 + 10 -36x = -21 + 10 Combine like terms: -21 + 10 = -11 -36x = -11 Divide each side by '-36'. x = 0.3055555556 Simplifying x = 0.3055555556
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