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Simplifying 11x + -1 = 10(x + 4) + -7 Reorder the terms: -1 + 11x = 10(x + 4) + -7 Reorder the terms: -1 + 11x = 10(4 + x) + -7 -1 + 11x = (4 * 10 + x * 10) + -7 -1 + 11x = (40 + 10x) + -7 Reorder the terms: -1 + 11x = 40 + -7 + 10x Combine like terms: 40 + -7 = 33 -1 + 11x = 33 + 10x Solving -1 + 11x = 33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + 11x + -10x = 33 + 10x + -10x Combine like terms: 11x + -10x = 1x -1 + 1x = 33 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 1x = 33 + 0 -1 + 1x = 33 Add '1' to each side of the equation. -1 + 1 + 1x = 33 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 33 + 1 1x = 33 + 1 Combine like terms: 33 + 1 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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