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Simplifying 7x + -4(2x + -2) + 7 = -2(3x + -3) + 6.4 Reorder the terms: 7x + -4(-2 + 2x) + 7 = -2(3x + -3) + 6.4 7x + (-2 * -4 + 2x * -4) + 7 = -2(3x + -3) + 6.4 7x + (8 + -8x) + 7 = -2(3x + -3) + 6.4 Reorder the terms: 8 + 7 + 7x + -8x = -2(3x + -3) + 6.4 Combine like terms: 8 + 7 = 15 15 + 7x + -8x = -2(3x + -3) + 6.4 Combine like terms: 7x + -8x = -1x 15 + -1x = -2(3x + -3) + 6.4 Reorder the terms: 15 + -1x = -2(-3 + 3x) + 6.4 15 + -1x = (-3 * -2 + 3x * -2) + 6.4 15 + -1x = (6 + -6x) + 6.4 Reorder the terms: 15 + -1x = 6 + 6.4 + -6x Combine like terms: 6 + 6.4 = 12.4 15 + -1x = 12.4 + -6x Solving 15 + -1x = 12.4 + -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. 15 + -1x + 6x = 12.4 + -6x + 6x Combine like terms: -1x + 6x = 5x 15 + 5x = 12.4 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 5x = 12.4 + 0 15 + 5x = 12.4 Add '-15' to each side of the equation. 15 + -15 + 5x = 12.4 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 12.4 + -15 5x = 12.4 + -15 Combine like terms: 12.4 + -15 = -2.6 5x = -2.6 Divide each side by '5'. x = -0.52 Simplifying x = -0.52
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