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Simplifying 10 + 7(-1x + 4) = 5 + -3x + 4 Reorder the terms: 10 + 7(4 + -1x) = 5 + -3x + 4 10 + (4 * 7 + -1x * 7) = 5 + -3x + 4 10 + (28 + -7x) = 5 + -3x + 4 Combine like terms: 10 + 28 = 38 38 + -7x = 5 + -3x + 4 Reorder the terms: 38 + -7x = 5 + 4 + -3x Combine like terms: 5 + 4 = 9 38 + -7x = 9 + -3x Solving 38 + -7x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 38 + -7x + 3x = 9 + -3x + 3x Combine like terms: -7x + 3x = -4x 38 + -4x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + -4x = 9 + 0 38 + -4x = 9 Add '-38' to each side of the equation. 38 + -38 + -4x = 9 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 9 + -38 -4x = 9 + -38 Combine like terms: 9 + -38 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25
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