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Simplifying -4(x + 4) + 6(3x + 8) = 13(x + 1) + 4 Reorder the terms: -4(4 + x) + 6(3x + 8) = 13(x + 1) + 4 (4 * -4 + x * -4) + 6(3x + 8) = 13(x + 1) + 4 (-16 + -4x) + 6(3x + 8) = 13(x + 1) + 4 Reorder the terms: -16 + -4x + 6(8 + 3x) = 13(x + 1) + 4 -16 + -4x + (8 * 6 + 3x * 6) = 13(x + 1) + 4 -16 + -4x + (48 + 18x) = 13(x + 1) + 4 Reorder the terms: -16 + 48 + -4x + 18x = 13(x + 1) + 4 Combine like terms: -16 + 48 = 32 32 + -4x + 18x = 13(x + 1) + 4 Combine like terms: -4x + 18x = 14x 32 + 14x = 13(x + 1) + 4 Reorder the terms: 32 + 14x = 13(1 + x) + 4 32 + 14x = (1 * 13 + x * 13) + 4 32 + 14x = (13 + 13x) + 4 Reorder the terms: 32 + 14x = 13 + 4 + 13x Combine like terms: 13 + 4 = 17 32 + 14x = 17 + 13x Solving 32 + 14x = 17 + 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. 32 + 14x + -13x = 17 + 13x + -13x Combine like terms: 14x + -13x = 1x 32 + 1x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 32 + 1x = 17 + 0 32 + 1x = 17 Add '-32' to each side of the equation. 32 + -32 + 1x = 17 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 17 + -32 1x = 17 + -32 Combine like terms: 17 + -32 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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