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Simplifying 5(11 + -3x) + 4(2x + 1) = 3 (11 * 5 + -3x * 5) + 4(2x + 1) = 3 (55 + -15x) + 4(2x + 1) = 3 Reorder the terms: 55 + -15x + 4(1 + 2x) = 3 55 + -15x + (1 * 4 + 2x * 4) = 3 55 + -15x + (4 + 8x) = 3 Reorder the terms: 55 + 4 + -15x + 8x = 3 Combine like terms: 55 + 4 = 59 59 + -15x + 8x = 3 Combine like terms: -15x + 8x = -7x 59 + -7x = 3 Solving 59 + -7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -7x = 3 + -59 Combine like terms: 59 + -59 = 0 0 + -7x = 3 + -59 -7x = 3 + -59 Combine like terms: 3 + -59 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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