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Simplifying 144 + -1(7x + 11) = 7(x + 4) + x Reorder the terms: 144 + -1(11 + 7x) = 7(x + 4) + x 144 + (11 * -1 + 7x * -1) = 7(x + 4) + x 144 + (-11 + -7x) = 7(x + 4) + x Combine like terms: 144 + -11 = 133 133 + -7x = 7(x + 4) + x Reorder the terms: 133 + -7x = 7(4 + x) + x 133 + -7x = (4 * 7 + x * 7) + x 133 + -7x = (28 + 7x) + x Combine like terms: 7x + x = 8x 133 + -7x = 28 + 8x Solving 133 + -7x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 133 + -7x + -8x = 28 + 8x + -8x Combine like terms: -7x + -8x = -15x 133 + -15x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 133 + -15x = 28 + 0 133 + -15x = 28 Add '-133' to each side of the equation. 133 + -133 + -15x = 28 + -133 Combine like terms: 133 + -133 = 0 0 + -15x = 28 + -133 -15x = 28 + -133 Combine like terms: 28 + -133 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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