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Simplifying -3 + 2(4x + -13) = -40x + 7 Reorder the terms: -3 + 2(-13 + 4x) = -40x + 7 -3 + (-13 * 2 + 4x * 2) = -40x + 7 -3 + (-26 + 8x) = -40x + 7 Combine like terms: -3 + -26 = -29 -29 + 8x = -40x + 7 Reorder the terms: -29 + 8x = 7 + -40x Solving -29 + 8x = 7 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -29 + 8x + 40x = 7 + -40x + 40x Combine like terms: 8x + 40x = 48x -29 + 48x = 7 + -40x + 40x Combine like terms: -40x + 40x = 0 -29 + 48x = 7 + 0 -29 + 48x = 7 Add '29' to each side of the equation. -29 + 29 + 48x = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 48x = 7 + 29 48x = 7 + 29 Combine like terms: 7 + 29 = 36 48x = 36 Divide each side by '48'. x = 0.75 Simplifying x = 0.75
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