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Simplifying 3x + 4(4x + 3) = 30x + -2(11 + 3x) Reorder the terms: 3x + 4(3 + 4x) = 30x + -2(11 + 3x) 3x + (3 * 4 + 4x * 4) = 30x + -2(11 + 3x) 3x + (12 + 16x) = 30x + -2(11 + 3x) Reorder the terms: 12 + 3x + 16x = 30x + -2(11 + 3x) Combine like terms: 3x + 16x = 19x 12 + 19x = 30x + -2(11 + 3x) 12 + 19x = 30x + (11 * -2 + 3x * -2) 12 + 19x = 30x + (-22 + -6x) Reorder the terms: 12 + 19x = -22 + 30x + -6x Combine like terms: 30x + -6x = 24x 12 + 19x = -22 + 24x Solving 12 + 19x = -22 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 19x + -24x = -22 + 24x + -24x Combine like terms: 19x + -24x = -5x 12 + -5x = -22 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -5x = -22 + 0 12 + -5x = -22 Add '-12' to each side of the equation. 12 + -12 + -5x = -22 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -22 + -12 -5x = -22 + -12 Combine like terms: -22 + -12 = -34 -5x = -34 Divide each side by '-5'. x = 6.8 Simplifying x = 6.8
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