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Simplifying 6(x + 9) + 4 = -4(x + -4) + -7 Reorder the terms: 6(9 + x) + 4 = -4(x + -4) + -7 (9 * 6 + x * 6) + 4 = -4(x + -4) + -7 (54 + 6x) + 4 = -4(x + -4) + -7 Reorder the terms: 54 + 4 + 6x = -4(x + -4) + -7 Combine like terms: 54 + 4 = 58 58 + 6x = -4(x + -4) + -7 Reorder the terms: 58 + 6x = -4(-4 + x) + -7 58 + 6x = (-4 * -4 + x * -4) + -7 58 + 6x = (16 + -4x) + -7 Reorder the terms: 58 + 6x = 16 + -7 + -4x Combine like terms: 16 + -7 = 9 58 + 6x = 9 + -4x Solving 58 + 6x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 58 + 6x + 4x = 9 + -4x + 4x Combine like terms: 6x + 4x = 10x 58 + 10x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 58 + 10x = 9 + 0 58 + 10x = 9 Add '-58' to each side of the equation. 58 + -58 + 10x = 9 + -58 Combine like terms: 58 + -58 = 0 0 + 10x = 9 + -58 10x = 9 + -58 Combine like terms: 9 + -58 = -49 10x = -49 Divide each side by '10'. x = -4.9 Simplifying x = -4.9
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