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Simplifying 5.4x + -12 = 10(x + -7) Reorder the terms: -12 + 5.4x = 10(x + -7) Reorder the terms: -12 + 5.4x = 10(-7 + x) -12 + 5.4x = (-7 * 10 + x * 10) -12 + 5.4x = (-70 + 10x) Solving -12 + 5.4x = -70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 5.4x + -10x = -70 + 10x + -10x Combine like terms: 5.4x + -10x = -4.6x -12 + -4.6x = -70 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -4.6x = -70 + 0 -12 + -4.6x = -70 Add '12' to each side of the equation. -12 + 12 + -4.6x = -70 + 12 Combine like terms: -12 + 12 = 0 0 + -4.6x = -70 + 12 -4.6x = -70 + 12 Combine like terms: -70 + 12 = -58 -4.6x = -58 Divide each side by '-4.6'. x = 12.60869565 Simplifying x = 12.60869565
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