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Simplifying 9(x + -4) + 4 = 9x + -4(4 + -1x) Reorder the terms: 9(-4 + x) + 4 = 9x + -4(4 + -1x) (-4 * 9 + x * 9) + 4 = 9x + -4(4 + -1x) (-36 + 9x) + 4 = 9x + -4(4 + -1x) Reorder the terms: -36 + 4 + 9x = 9x + -4(4 + -1x) Combine like terms: -36 + 4 = -32 -32 + 9x = 9x + -4(4 + -1x) -32 + 9x = 9x + (4 * -4 + -1x * -4) -32 + 9x = 9x + (-16 + 4x) Reorder the terms: -32 + 9x = -16 + 9x + 4x Combine like terms: 9x + 4x = 13x -32 + 9x = -16 + 13x Solving -32 + 9x = -16 + 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 + 9x + -13x = -16 + 13x + -13x Combine like terms: 9x + -13x = -4x -32 + -4x = -16 + 13x + -13x Combine like terms: 13x + -13x = 0 -32 + -4x = -16 + 0 -32 + -4x = -16 Add '32' to each side of the equation. -32 + 32 + -4x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -16 + 32 -4x = -16 + 32 Combine like terms: -16 + 32 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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