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Simplifying (3x + 4) + -2x = 7x + -3(-2x + 11) Reorder the terms: (4 + 3x) + -2x = 7x + -3(-2x + 11) Remove parenthesis around (4 + 3x) 4 + 3x + -2x = 7x + -3(-2x + 11) Combine like terms: 3x + -2x = 1x 4 + 1x = 7x + -3(-2x + 11) Reorder the terms: 4 + 1x = 7x + -3(11 + -2x) 4 + 1x = 7x + (11 * -3 + -2x * -3) 4 + 1x = 7x + (-33 + 6x) Reorder the terms: 4 + 1x = -33 + 7x + 6x Combine like terms: 7x + 6x = 13x 4 + 1x = -33 + 13x Solving 4 + 1x = -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. 4 + 1x + -13x = -33 + 13x + -13x Combine like terms: 1x + -13x = -12x 4 + -12x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 4 + -12x = -33 + 0 4 + -12x = -33 Add '-4' to each side of the equation. 4 + -4 + -12x = -33 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -33 + -4 -12x = -33 + -4 Combine like terms: -33 + -4 = -37 -12x = -37 Divide each side by '-12'. x = 3.083333333 Simplifying x = 3.083333333
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