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Simplifying 56 + -1(7x + -9) = 9(11x + -3) + -1(6x + 13) Reorder the terms: 56 + -1(-9 + 7x) = 9(11x + -3) + -1(6x + 13) 56 + (-9 * -1 + 7x * -1) = 9(11x + -3) + -1(6x + 13) 56 + (9 + -7x) = 9(11x + -3) + -1(6x + 13) Combine like terms: 56 + 9 = 65 65 + -7x = 9(11x + -3) + -1(6x + 13) Reorder the terms: 65 + -7x = 9(-3 + 11x) + -1(6x + 13) 65 + -7x = (-3 * 9 + 11x * 9) + -1(6x + 13) 65 + -7x = (-27 + 99x) + -1(6x + 13) Reorder the terms: 65 + -7x = -27 + 99x + -1(13 + 6x) 65 + -7x = -27 + 99x + (13 * -1 + 6x * -1) 65 + -7x = -27 + 99x + (-13 + -6x) Reorder the terms: 65 + -7x = -27 + -13 + 99x + -6x Combine like terms: -27 + -13 = -40 65 + -7x = -40 + 99x + -6x Combine like terms: 99x + -6x = 93x 65 + -7x = -40 + 93x Solving 65 + -7x = -40 + 93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93x' to each side of the equation. 65 + -7x + -93x = -40 + 93x + -93x Combine like terms: -7x + -93x = -100x 65 + -100x = -40 + 93x + -93x Combine like terms: 93x + -93x = 0 65 + -100x = -40 + 0 65 + -100x = -40 Add '-65' to each side of the equation. 65 + -65 + -100x = -40 + -65 Combine like terms: 65 + -65 = 0 0 + -100x = -40 + -65 -100x = -40 + -65 Combine like terms: -40 + -65 = -105 -100x = -105 Divide each side by '-100'. x = 1.05 Simplifying x = 1.05
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