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Simplifying 5(3 + 4) + -2x = 7x + -3(-2x + 11) Combine like terms: 3 + 4 = 7 5(7) + -2x = 7x + -3(-2x + 11) Multiply 5 * 7 35 + -2x = 7x + -3(-2x + 11) Reorder the terms: 35 + -2x = 7x + -3(11 + -2x) 35 + -2x = 7x + (11 * -3 + -2x * -3) 35 + -2x = 7x + (-33 + 6x) Reorder the terms: 35 + -2x = -33 + 7x + 6x Combine like terms: 7x + 6x = 13x 35 + -2x = -33 + 13x Solving 35 + -2x = -33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 35 + -2x + -13x = -33 + 13x + -13x Combine like terms: -2x + -13x = -15x 35 + -15x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 35 + -15x = -33 + 0 35 + -15x = -33 Add '-35' to each side of the equation. 35 + -35 + -15x = -33 + -35 Combine like terms: 35 + -35 = 0 0 + -15x = -33 + -35 -15x = -33 + -35 Combine like terms: -33 + -35 = -68 -15x = -68 Divide each side by '-15'. x = 4.533333333 Simplifying x = 4.533333333
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