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Simplifying 8 + -3(x + -5) + x + 7 = 2(4x + -3) Reorder the terms: 8 + -3(-5 + x) + x + 7 = 2(4x + -3) 8 + (-5 * -3 + x * -3) + x + 7 = 2(4x + -3) 8 + (15 + -3x) + x + 7 = 2(4x + -3) Reorder the terms: 8 + 15 + 7 + -3x + x = 2(4x + -3) Combine like terms: 8 + 15 = 23 23 + 7 + -3x + x = 2(4x + -3) Combine like terms: 23 + 7 = 30 30 + -3x + x = 2(4x + -3) Combine like terms: -3x + x = -2x 30 + -2x = 2(4x + -3) Reorder the terms: 30 + -2x = 2(-3 + 4x) 30 + -2x = (-3 * 2 + 4x * 2) 30 + -2x = (-6 + 8x) Solving 30 + -2x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + -2x + -8x = -6 + 8x + -8x Combine like terms: -2x + -8x = -10x 30 + -10x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -10x = -6 + 0 30 + -10x = -6 Add '-30' to each side of the equation. 30 + -30 + -10x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -6 + -30 -10x = -6 + -30 Combine like terms: -6 + -30 = -36 -10x = -36 Divide each side by '-10'. x = 3.6 Simplifying x = 3.6
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