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Simplifying 8x + -7 = 6 + 2.3(10x + -3) Reorder the terms: -7 + 8x = 6 + 2.3(10x + -3) Reorder the terms: -7 + 8x = 6 + 2.3(-3 + 10x) -7 + 8x = 6 + (-3 * 2.3 + 10x * 2.3) -7 + 8x = 6 + (-6.9 + 23x) Combine like terms: 6 + -6.9 = -0.9 -7 + 8x = -0.9 + 23x Solving -7 + 8x = -0.9 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -7 + 8x + -23x = -0.9 + 23x + -23x Combine like terms: 8x + -23x = -15x -7 + -15x = -0.9 + 23x + -23x Combine like terms: 23x + -23x = 0 -7 + -15x = -0.9 + 0 -7 + -15x = -0.9 Add '7' to each side of the equation. -7 + 7 + -15x = -0.9 + 7 Combine like terms: -7 + 7 = 0 0 + -15x = -0.9 + 7 -15x = -0.9 + 7 Combine like terms: -0.9 + 7 = 6.1 -15x = 6.1 Divide each side by '-15'. x = -0.4066666667 Simplifying x = -0.4066666667
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