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Simplifying 2(3x + 4) + -3(x + 1) = 4(x + -4) + 23 Reorder the terms: 2(4 + 3x) + -3(x + 1) = 4(x + -4) + 23 (4 * 2 + 3x * 2) + -3(x + 1) = 4(x + -4) + 23 (8 + 6x) + -3(x + 1) = 4(x + -4) + 23 Reorder the terms: 8 + 6x + -3(1 + x) = 4(x + -4) + 23 8 + 6x + (1 * -3 + x * -3) = 4(x + -4) + 23 8 + 6x + (-3 + -3x) = 4(x + -4) + 23 Reorder the terms: 8 + -3 + 6x + -3x = 4(x + -4) + 23 Combine like terms: 8 + -3 = 5 5 + 6x + -3x = 4(x + -4) + 23 Combine like terms: 6x + -3x = 3x 5 + 3x = 4(x + -4) + 23 Reorder the terms: 5 + 3x = 4(-4 + x) + 23 5 + 3x = (-4 * 4 + x * 4) + 23 5 + 3x = (-16 + 4x) + 23 Reorder the terms: 5 + 3x = -16 + 23 + 4x Combine like terms: -16 + 23 = 7 5 + 3x = 7 + 4x Solving 5 + 3x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 7 + 0 5 + -1x = 7 Add '-5' to each side of the equation. 5 + -5 + -1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 7 + -5 -1x = 7 + -5 Combine like terms: 7 + -5 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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