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Simplifying 4(3x + 4) + -2x = 7x + -3(-2x + 11) Reorder the terms: 4(4 + 3x) + -2x = 7x + -3(-2x + 11) (4 * 4 + 3x * 4) + -2x = 7x + -3(-2x + 11) (16 + 12x) + -2x = 7x + -3(-2x + 11) Combine like terms: 12x + -2x = 10x 16 + 10x = 7x + -3(-2x + 11) Reorder the terms: 16 + 10x = 7x + -3(11 + -2x) 16 + 10x = 7x + (11 * -3 + -2x * -3) 16 + 10x = 7x + (-33 + 6x) Reorder the terms: 16 + 10x = -33 + 7x + 6x Combine like terms: 7x + 6x = 13x 16 + 10x = -33 + 13x Solving 16 + 10x = -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. 16 + 10x + -13x = -33 + 13x + -13x Combine like terms: 10x + -13x = -3x 16 + -3x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 16 + -3x = -33 + 0 16 + -3x = -33 Add '-16' to each side of the equation. 16 + -16 + -3x = -33 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -33 + -16 -3x = -33 + -16 Combine like terms: -33 + -16 = -49 -3x = -49 Divide each side by '-3'. x = 16.33333333 Simplifying x = 16.33333333
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