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Simplifying -4(x + 4) + 3 = 6(x + 3) + 8 Reorder the terms: -4(4 + x) + 3 = 6(x + 3) + 8 (4 * -4 + x * -4) + 3 = 6(x + 3) + 8 (-16 + -4x) + 3 = 6(x + 3) + 8 Reorder the terms: -16 + 3 + -4x = 6(x + 3) + 8 Combine like terms: -16 + 3 = -13 -13 + -4x = 6(x + 3) + 8 Reorder the terms: -13 + -4x = 6(3 + x) + 8 -13 + -4x = (3 * 6 + x * 6) + 8 -13 + -4x = (18 + 6x) + 8 Reorder the terms: -13 + -4x = 18 + 8 + 6x Combine like terms: 18 + 8 = 26 -13 + -4x = 26 + 6x Solving -13 + -4x = 26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + -4x + -6x = 26 + 6x + -6x Combine like terms: -4x + -6x = -10x -13 + -10x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -10x = 26 + 0 -13 + -10x = 26 Add '13' to each side of the equation. -13 + 13 + -10x = 26 + 13 Combine like terms: -13 + 13 = 0 0 + -10x = 26 + 13 -10x = 26 + 13 Combine like terms: 26 + 13 = 39 -10x = 39 Divide each side by '-10'. x = -3.9 Simplifying x = -3.9
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