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Simplifying -4(x + 3) + 5 = 6(x + 5) + 5 Reorder the terms: -4(3 + x) + 5 = 6(x + 5) + 5 (3 * -4 + x * -4) + 5 = 6(x + 5) + 5 (-12 + -4x) + 5 = 6(x + 5) + 5 Reorder the terms: -12 + 5 + -4x = 6(x + 5) + 5 Combine like terms: -12 + 5 = -7 -7 + -4x = 6(x + 5) + 5 Reorder the terms: -7 + -4x = 6(5 + x) + 5 -7 + -4x = (5 * 6 + x * 6) + 5 -7 + -4x = (30 + 6x) + 5 Reorder the terms: -7 + -4x = 30 + 5 + 6x Combine like terms: 30 + 5 = 35 -7 + -4x = 35 + 6x Solving -7 + -4x = 35 + 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. -7 + -4x + -6x = 35 + 6x + -6x Combine like terms: -4x + -6x = -10x -7 + -10x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -10x = 35 + 0 -7 + -10x = 35 Add '7' to each side of the equation. -7 + 7 + -10x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 35 + 7 -10x = 35 + 7 Combine like terms: 35 + 7 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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