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Simplifying 4x + 9 + -67(x + 1) = 6x + 7 Reorder the terms: 4x + 9 + -67(1 + x) = 6x + 7 4x + 9 + (1 * -67 + x * -67) = 6x + 7 4x + 9 + (-67 + -67x) = 6x + 7 Reorder the terms: 9 + -67 + 4x + -67x = 6x + 7 Combine like terms: 9 + -67 = -58 -58 + 4x + -67x = 6x + 7 Combine like terms: 4x + -67x = -63x -58 + -63x = 6x + 7 Reorder the terms: -58 + -63x = 7 + 6x Solving -58 + -63x = 7 + 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. -58 + -63x + -6x = 7 + 6x + -6x Combine like terms: -63x + -6x = -69x -58 + -69x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -58 + -69x = 7 + 0 -58 + -69x = 7 Add '58' to each side of the equation. -58 + 58 + -69x = 7 + 58 Combine like terms: -58 + 58 = 0 0 + -69x = 7 + 58 -69x = 7 + 58 Combine like terms: 7 + 58 = 65 -69x = 65 Divide each side by '-69'. x = -0.9420289855 Simplifying x = -0.9420289855
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