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Simplifying 2 + 4(4x + -5) = 7 + -3(2x + -1) Reorder the terms: 2 + 4(-5 + 4x) = 7 + -3(2x + -1) 2 + (-5 * 4 + 4x * 4) = 7 + -3(2x + -1) 2 + (-20 + 16x) = 7 + -3(2x + -1) Combine like terms: 2 + -20 = -18 -18 + 16x = 7 + -3(2x + -1) Reorder the terms: -18 + 16x = 7 + -3(-1 + 2x) -18 + 16x = 7 + (-1 * -3 + 2x * -3) -18 + 16x = 7 + (3 + -6x) Combine like terms: 7 + 3 = 10 -18 + 16x = 10 + -6x Solving -18 + 16x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + 16x + 6x = 10 + -6x + 6x Combine like terms: 16x + 6x = 22x -18 + 22x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 22x = 10 + 0 -18 + 22x = 10 Add '18' to each side of the equation. -18 + 18 + 22x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 22x = 10 + 18 22x = 10 + 18 Combine like terms: 10 + 18 = 28 22x = 28 Divide each side by '22'. x = 1.272727273 Simplifying x = 1.272727273
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