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Simplifying 3(9 + -2x) + -5(11 + -1x) + -28 = 7(x + 4) + -28 (9 * 3 + -2x * 3) + -5(11 + -1x) + -28 = 7(x + 4) + -28 (27 + -6x) + -5(11 + -1x) + -28 = 7(x + 4) + -28 27 + -6x + (11 * -5 + -1x * -5) + -28 = 7(x + 4) + -28 27 + -6x + (-55 + 5x) + -28 = 7(x + 4) + -28 Reorder the terms: 27 + -55 + -28 + -6x + 5x = 7(x + 4) + -28 Combine like terms: 27 + -55 = -28 -28 + -28 + -6x + 5x = 7(x + 4) + -28 Combine like terms: -28 + -28 = -56 -56 + -6x + 5x = 7(x + 4) + -28 Combine like terms: -6x + 5x = -1x -56 + -1x = 7(x + 4) + -28 Reorder the terms: -56 + -1x = 7(4 + x) + -28 -56 + -1x = (4 * 7 + x * 7) + -28 -56 + -1x = (28 + 7x) + -28 Reorder the terms: -56 + -1x = 28 + -28 + 7x Combine like terms: 28 + -28 = 0 -56 + -1x = 0 + 7x -56 + -1x = 7x Solving -56 + -1x = 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. -56 + -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -56 + -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -56 + -8x = 0 Add '56' to each side of the equation. -56 + 56 + -8x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -8x = 0 + 56 -8x = 0 + 56 Combine like terms: 0 + 56 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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