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Simplifying 4(11 + -1x) + 7 = -7(x + -2) + -10 (11 * 4 + -1x * 4) + 7 = -7(x + -2) + -10 (44 + -4x) + 7 = -7(x + -2) + -10 Reorder the terms: 44 + 7 + -4x = -7(x + -2) + -10 Combine like terms: 44 + 7 = 51 51 + -4x = -7(x + -2) + -10 Reorder the terms: 51 + -4x = -7(-2 + x) + -10 51 + -4x = (-2 * -7 + x * -7) + -10 51 + -4x = (14 + -7x) + -10 Reorder the terms: 51 + -4x = 14 + -10 + -7x Combine like terms: 14 + -10 = 4 51 + -4x = 4 + -7x Solving 51 + -4x = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 51 + -4x + 7x = 4 + -7x + 7x Combine like terms: -4x + 7x = 3x 51 + 3x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 51 + 3x = 4 + 0 51 + 3x = 4 Add '-51' to each side of the equation. 51 + -51 + 3x = 4 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = 4 + -51 3x = 4 + -51 Combine like terms: 4 + -51 = -47 3x = -47 Divide each side by '3'. x = -15.66666667 Simplifying x = -15.66666667
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